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210100121001012 = 223112373910731163
BaseRepresentation
bin101111110001010110111111…
…000101000101110000110100
31000112220101010200012010211110
4233301112333011011300310
5210014240021434013022
62022502355123035020
762153142600311214
oct5761267705056064
91015811120163743
10210100121001012
1160a42a63008300
121b69298950ba70
139030483011568
1439c4c85cb0244
1519452bdb6e00c
hexbf15bf145c34

210100121001012 has 72 divisors (see below), whose sum is σ = 553415388479968. Its totient is φ = 61945981606080.

The previous prime is 210100121000993. The next prime is 210100121001097.

210100121001012 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1955311858 + ... + 1955419305.

Almost surely, 2210100121001012 is an apocalyptic number.

210100121001012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210100121001012 is an abundant number, since it is smaller than the sum of its proper divisors (343315267478956).

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

210100121001012 is a wasteful number, since it uses less digits than its factorization.

210100121001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910731229 (or 3910731216 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 210100121001012 in words is "two hundred ten trillion, one hundred billion, one hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8954 13431 17908 26862 53724 3910731163 7821462326 11732193489 15642924652 23464386978 43018042793 46928773956 86036085586 129054128379 144697053031 172072171172 258108256758 289394106062 434091159093 473198470723 516216513516 578788212124 868182318186 946396941446 1419595412169 1591667583341 1736364636372 1892793882892 2839190824338 3183335166682 4775002750023 5678381648676 6366670333364 9550005500046 17508343416751 19100011000092 35016686833502 52525030250253 70033373667004 105050060500506 210100121001012