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10121310213 = 3717291098969
BaseRepresentation
bin10010110110100011…
…01111000000000101
3222010101000211110020
421123101233000011
5131212023411323
64352154445353
7505546501020
oct113321570005
928111024406
1010121310213
114324241193
121b65733859
13c53b82871
146c03001b7
153e3871ae3
hex25b46f005

10121310213 has 64 divisors (see below), whose sum is σ = 17050176000. Its totient is φ = 5206892544.

The previous prime is 10121310211. The next prime is 10121310217. The reversal of 10121310213 is 31201312101.

It is a happy number.

It is not a de Polignac number, because 10121310213 - 21 = 10121310211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121310192 and 10121310201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121310211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1123993 + ... + 1132961.

It is an arithmetic number, because the mean of its divisors is an integer number (266409000).

Almost surely, 210121310213 is an apocalyptic number.

It is an amenable number.

10121310213 is a deficient number, since it is larger than the sum of its proper divisors (6928865787).

10121310213 is a wasteful number, since it uses less digits than its factorization.

10121310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10121310213 its reverse (31201312101), we get a palindrome (41322622314).

The spelling of 10121310213 in words is "ten billion, one hundred twenty-one million, three hundred ten thousand, two hundred thirteen".

Divisors: 1 3 7 17 21 29 51 87 109 119 203 327 357 493 609 763 1479 1853 2289 3161 3451 5559 8969 9483 10353 12971 22127 26907 38913 53737 62783 66381 152473 161211 188349 260101 376159 457419 780303 977621 1067311 1128477 1820707 2932863 3201933 4421717 5462121 6843347 13265151 16619557 20530041 28351009 30952019 49858671 85053027 92856057 116336899 198457063 349010697 481967153 595371189 1445901459 3373770071 10121310213