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210120021012 = 2231117103909091
BaseRepresentation
bin1100001110110000100…
…0010001010000010100
3202002100121220000111110
43003230020101100110
511420311211133022
6240310001135020
721115653465306
oct3035410212024
9662317800443
10210120021012
1181125301830
123488092a470
1316a77b3cca5
14a254167976
1556ebb3e00c
hex30ec211414

210120021012 has 96 divisors (see below), whose sum is σ = 571811595264. Its totient is φ = 59345395200.

The previous prime is 210120020963. The next prime is 210120021017.

210120021012 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120021017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223414 + ... + 685677.

It is an arithmetic number, because the mean of its divisors is an integer number (5956370784).

Almost surely, 2210120021012 is an apocalyptic number.

210120021012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210120021012 is an abundant number, since it is smaller than the sum of its proper divisors (361691574252).

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

210120021012 is a wasteful number, since it uses less digits than its factorization.

210120021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909229 (or 909227 counting only the distinct ones).

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

It can be divided in two parts, 2101200 and 21012, that multiplied together give a square (44150414400 = 2101202).

The spelling of 210120021012 in words is "two hundred ten billion, one hundred twenty million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 103 132 187 204 206 309 374 412 561 618 748 1122 1133 1236 1751 2244 2266 3399 3502 4532 5253 6798 7004 10506 13596 19261 21012 38522 57783 77044 115566 231132 909091 1818182 2727273 3636364 5454546 10000001 10909092 15454547 20000002 30000003 30909094 40000004 46363641 60000006 61818188 92727282 93636373 120000012 170000017 185454564 187272746 280909119 340000034 374545492 510000051 561818238 680000068 1020000102 1030000103 1123636476 1591818341 2040000204 2060000206 3090000309 3183636682 4120000412 4775455023 6180000618 6367273364 9550910046 12360001236 17510001751 19101820092 35020003502 52530005253 70040007004 105060010506 210120021012