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210012211020 = 22352923922113
BaseRepresentation
bin1100001110010110110…
…1000000011101001100
3202002002010000200222210
43003211231000131030
511420101111223040
6240251150310420
721113204224413
oct3034555003514
9662063020883
10210012211020
118107a466567
12348507b8410
1316a5b6c36b1
14a243b0247a
1556e2445480
hex30e5b4074c

210012211020 has 144 divisors (see below), whose sum is σ = 611156216160. Its totient is φ = 53820383232.

The previous prime is 210012210979. The next prime is 210012211061. The reversal of 210012211020 is 20112210012.

It is an interprime number because it is at equal distance from previous prime (210012210979) and next prime (210012211061).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210012210987 and 210012211005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99389484 + ... + 99391596.

It is an arithmetic number, because the mean of its divisors is an integer number (4244140390).

Almost surely, 2210012211020 is an apocalyptic number.

210012211020 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 210012211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305578108080).

210012211020 is an abundant number, since it is smaller than the sum of its proper divisors (401144005140).

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

210012211020 is a wasteful number, since it uses less digits than its factorization.

210012211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210012211020 its reverse (20112210012), we get a palindrome (230124421032).

The spelling of 210012211020 in words is "two hundred ten billion, twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 239 290 348 435 478 580 717 870 956 1195 1434 1740 2113 2390 2868 3585 4226 4780 6339 6931 7170 8452 10565 12678 13862 14340 20793 21130 25356 27724 31695 34655 41586 42260 57121 61277 63390 69310 83172 103965 114242 122554 126780 138620 171363 183831 207930 228484 245108 285605 306385 342726 367662 415860 505007 571210 612770 685452 735324 856815 919155 1010014 1142420 1225540 1515021 1656509 1713630 1838310 2020028 2525035 3030042 3313018 3427260 3676620 4969527 5050070 6060084 6626036 7575105 8282545 9939054 10100140 14645203 15150210 16565090 19878108 24847635 29290406 30300420 33130180 43935609 49695270 58580812 73226015 87871218 99390540 120696673 146452030 175742436 219678045 241393346 292904060 362090019 439356090 482786692 603483365 724180038 878712180 1206966730 1448360076 1810450095 2413933460 3500203517 3620900190 7000407034 7241800380 10500610551 14000814068 17501017585 21001221102 35002035170 42002442204 52503052755 70004070340 105006105510 210012211020