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10121011210212 = 2237250933816511
BaseRepresentation
bin1001001101000111101101…
…0001110010011111100100
31022211120002200011122221220
42103101323101302133210
52311310312332211322
633305310043140340
72063135043560400
oct223217321623744
938746080148856
1010121011210212
113252329a79361
12117562a2146b0
1358553a9a6416
1426dc068a0100
1512840da9155c
hex9347b4727e4

10121011210212 has 72 divisors (see below), whose sum is σ = 27525288107520. Its totient is φ = 2886036229440.

The previous prime is 10121011210201. The next prime is 10121011210339. The reversal of 10121011210212 is 21201211012101.

It is a happy number.

It is a super-3 number, since 3×101210112102123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121011210191 and 10121011210200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16608964 + ... + 17207547.

It is an arithmetic number, because the mean of its divisors is an integer number (382295668160).

Almost surely, 210121011210212 is an apocalyptic number.

10121011210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121011210212 is an abundant number, since it is smaller than the sum of its proper divisors (17404276897308).

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

10121011210212 is a wasteful number, since it uses less digits than its factorization.

10121011210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33817041 (or 33817032 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10121011210212 its reverse (21201211012101), we get a palindrome (31322222222313).

The spelling of 10121011210212 in words is "ten trillion, one hundred twenty-one billion, eleven million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 509 588 1018 1527 2036 3054 3563 6108 7126 10689 14252 21378 24941 42756 49882 74823 99764 149646 299292 33816511 67633022 101449533 135266044 202899066 236715577 405798132 473431154 710146731 946862308 1420293462 1657009039 2840586924 3314018078 4971027117 6628036156 9942054234 17212604099 19884108468 34425208198 51637812297 68850416396 103275624594 120488228693 206551249188 240976457386 361464686079 481952914772 722929372158 843417600851 1445858744316 1686835201702 2530252802553 3373670403404 5060505605106 10121011210212