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10010112021 = 3271319336323
BaseRepresentation
bin10010101001010011…
…00011000000010101
3221211121210101012200
421110221203000111
5131000042041041
64333143235113
7503026356030
oct112451430025
927747711180
1010010112021
1142774a1358
121b34448a99
13c36b1b010
146ad636017
153d8c091b6
hex254a63015

10010112021 has 48 divisors (see below), whose sum is σ = 17807776896. Its totient is φ = 5276492928.

The previous prime is 10010112001. The next prime is 10010112031. The reversal of 10010112021 is 12021101001.

It is a happy number.

It is not a de Polignac number, because 10010112021 - 29 = 10010111509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010111994 and 10010112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010112001) 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 47 ways as a sum of consecutive naturals, for example, 1579966 + ... + 1586288.

It is an arithmetic number, because the mean of its divisors is an integer number (370995352).

Almost surely, 210010112021 is an apocalyptic number.

It is an amenable number.

10010112021 is a deficient number, since it is larger than the sum of its proper divisors (7797664875).

10010112021 is a wasteful number, since it uses less digits than its factorization.

10010112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010112021 its reverse (12021101001), we get a palindrome (22031213022).

The spelling of 10010112021 in words is "ten billion, ten million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1933 5799 6323 13531 17397 18969 25129 40593 44261 56907 75387 82199 121779 132783 175903 226161 246597 398349 527709 575393 739791 1583127 1726179 5178537 12222359 36667077 85556513 110001231 158890667 256669539 476672001 770008617 1112234669 1430016003 3336704007 10010112021