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10121310332 = 22717891731381
BaseRepresentation
bin10010110110100011…
…01111000001111100
3222010101000211121122
421123101233001330
5131212023412312
64352154450112
7505546501250
oct113321570174
928111024548
1010121310332
114324241291
121b65733938
13c53b82933
146c0300260
153e3871b72
hex25b46f07c

10121310332 has 96 divisors (see below), whose sum is σ = 21815256960. Its totient is φ = 4010434560.

The previous prime is 10121310263. The next prime is 10121310343. The reversal of 10121310332 is 23301312101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10121310332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7328282 + ... + 7329662.

It is an arithmetic number, because the mean of its divisors is an integer number (227242260).

Almost surely, 210121310332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121310332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10907628480).

10121310332 is an abundant number, since it is smaller than the sum of its proper divisors (11693946628).

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

10121310332 is a wasteful number, since it uses less digits than its factorization.

10121310332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10121310332 its reverse (23301312101), we get a palindrome (33422622433).

The spelling of 10121310332 in words is "ten billion, one hundred twenty-one million, three hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 89 119 173 178 238 346 356 476 623 692 1211 1246 1381 1513 2422 2492 2762 2941 3026 4844 5524 5882 6052 9667 10591 11764 15397 19334 20587 21182 23477 30794 38668 41174 42364 46954 61588 82348 93908 107779 122909 164339 215558 238913 245818 261749 328678 431116 477826 491636 523498 657356 860363 955652 1046996 1672391 1720726 1832243 2089453 3344782 3441452 3664486 4061521 4178906 6689564 7328972 8123042 8357812 14626171 16246084 21263257 28430647 29252342 42526514 56861294 58504684 85053028 113722588 148842799 297685598 361475369 595371196 722950738 1445901476 2530327583 5060655166 10121310332