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202030023120 = 24353159460247
BaseRepresentation
bin1011110000100111101…
…1011000000111010000
3201022110211010112200220
42330021323120013100
511302224141214440
6232451124313040
720411330601522
oct2741173300720
9638424115626
10202030023120
1178753754662
12331a3542780
1316088a78ba3
149ac7953a12
1553c67b78d0
hex2f09ed81d0

202030023120 has 160 divisors (see below), whose sum is σ = 657455063040. Its totient is φ = 51252994560.

The previous prime is 202030023079. The next prime is 202030023161. The reversal of 202030023120 is 21320030202.

202030023120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202030023079) and next prime (202030023161).

It is a super-2 number, since 2×2020300231202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202030023120.

It is a congruent number.

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, 208837 + ... + 669083.

It is an arithmetic number, because the mean of its divisors is an integer number (4109094144).

Almost surely, 2202030023120 is an apocalyptic number.

202030023120 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 202030023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328727531520).

202030023120 is an abundant number, since it is smaller than the sum of its proper divisors (455425039920).

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

202030023120 is a wasteful number, since it uses less digits than its factorization.

202030023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460353 (or 460347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 202030023120 its reverse (21320030202), we get a palindrome (223350053322).

The spelling of 202030023120 in words is "two hundred two billion, thirty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 59 60 62 80 93 118 120 124 155 177 186 236 240 248 295 310 354 372 465 472 496 590 620 708 744 885 930 944 1180 1240 1416 1488 1770 1829 1860 2360 2480 2832 3540 3658 3720 4720 5487 7080 7316 7440 9145 10974 14160 14632 18290 21948 27435 29264 36580 43896 54870 73160 87792 109740 146320 219480 438960 460247 920494 1380741 1840988 2301235 2761482 3681976 4602470 5522964 6903705 7363952 9204940 11045928 13807410 14267657 18409880 22091856 27154573 27614820 28535314 36819760 42802971 54309146 55229640 57070628 71338285 81463719 85605942 108618292 110459280 114141256 135772865 142676570 162927438 171211884 214014855 217236584 228282512 271545730 285353140 325854876 342423768 407318595 428029710 434473168 543091460 570706280 651709752 684847536 814637190 841791763 856059420 1086182920 1141412560 1303419504 1629274380 1683583526 1712118840 2172365840 2525375289 3258548760 3367167052 3424237680 4208958815 5050750578 6517097520 6734334104 8417917630 10101501156 12626876445 13468668208 16835835260 20203002312 25253752890 33671670520 40406004624 50507505780 67343341040 101015011560 202030023120