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202020312102320 = 24559616731042577
BaseRepresentation
bin101101111011110010000100…
…111100001011010110110000
3222111021221201220021121200102
4231323302010330023112300
5202434400044344233240
61553354503345211532
760360325442663015
oct5573620474132660
9874257656247612
10202020312102320
1159408373583258
121a7a8a81930ba8
138895583a753ba
1437c5b99ddd70c
15185502a3d7815
hexb7bc84f0b5b0

202020312102320 has 160 divisors (see below), whose sum is σ = 486210504018240. Its totient is φ = 78020048977920.

The previous prime is 202020312102319. The next prime is 202020312102403. The reversal of 202020312102320 is 23201213020202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202020312102292 and 202020312102301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193248872 + ... + 194291448.

It is an arithmetic number, because the mean of its divisors is an integer number (3038815650114).

Almost surely, 2202020312102320 is an apocalyptic number.

202020312102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202020312102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243105252009120).

202020312102320 is an abundant number, since it is smaller than the sum of its proper divisors (284190191915920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202020312102320 is a wasteful number, since it uses less digits than its factorization.

202020312102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043383 (or 1043377 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202020312102320 its reverse (23201213020202), we get a palindrome (225221525122522).

The spelling of 202020312102320 in words is "two hundred two trillion, twenty billion, three hundred twelve million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 61 80 118 122 236 244 295 305 472 488 590 610 673 944 976 1180 1220 1346 2360 2440 2692 3365 3599 4720 4880 5384 6730 7198 10768 13460 14396 17995 26920 28792 35990 39707 41053 53840 57584 71980 79414 82106 143960 158828 164212 198535 205265 287920 317656 328424 397070 410530 635312 656848 794140 821060 1042577 1588280 1642120 2085154 2422127 3176560 3284240 4170308 4844254 5212885 8340616 9688508 10425770 12110635 16681232 19377016 20851540 24221270 38754032 41703080 48442540 61512043 63597197 83406160 96885080 123024086 127194394 193770160 246048172 254388788 307560215 317985985 492096344 508777576 615120430 635971970 701654321 984192688 1017555152 1230240860 1271943940 1403308642 2460481720 2543887880 2806617284 3508271605 3752234623 4920963440 5087775760 5613234568 7016543210 7504469246 11226469136 14033086420 15008938492 18761173115 28066172840 30017876984 37522346230 41397604939 42800913581 56132345680 60035753968 75044692460 82795209878 85601827162 150089384920 165590419756 171203654324 206988024695 214004567905 300178769840 331180839512 342407308648 413976049390 428009135810 662361679024 684814617296 827952098780 856018271620 1655904197560 1712036543240 2525253901279 3311808395120 3424073086480 5050507802558 10101015605116 12626269506395 20202031210232 25252539012790 40404062420464 50505078025580 101010156051160 202020312102320