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10103244431202 = 232131132713140837
BaseRepresentation
bin1001001100000101100001…
…0010111001111101100010
31022202212020110211202222200
42103001120102321331202
52311012421033244302
633253211051314030
72061635546465016
oct223013022717542
938685213752880
1010103244431202
1132458420aa31a
1211720b014b916
13583968b92230
1426cddd022546
15127c1de0581c
hex930584b9f62

10103244431202 has 96 divisors (see below), whose sum is σ = 23791793761008. Its totient is φ = 3080022478848.

The previous prime is 10103244431191. The next prime is 10103244431251. The reversal of 10103244431202 is 20213444230101.

10103244431202 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 24 + 4 + 431 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6288062775201 + 3815181656001 = 2507601^2 + 1953249^2 .

It is a super-2 number, since 2×101032444312022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71666728 + ... + 71807564.

Almost surely, 210103244431202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103244431202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11895896880504).

10103244431202 is an abundant number, since it is smaller than the sum of its proper divisors (13688549329806).

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

10103244431202 is a wasteful number, since it uses less digits than its factorization.

10103244431202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143684 (or 143681 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10103244431202 its reverse (20213444230101), we get a palindrome (30316688661303).

The spelling of 10103244431202 in words is "ten trillion, one hundred three billion, two hundred forty-four million, four hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2713 2938 4407 5426 8139 8814 13221 16278 24417 26442 35269 48834 70538 105807 140837 211614 281674 306569 317421 422511 613138 634842 845022 919707 1267533 1830881 1839414 2535066 2759121 3661762 3985397 5492643 5518242 7970794 10985286 11956191 15914581 16477929 23912382 31829162 32955858 35868573 47743743 71737146 95487486 143231229 206889553 286462458 382090781 413779106 620668659 764181562 1146272343 1241337318 1862005977 2292544686 3438817029 3724011954 4967180153 6877634058 9934360306 14901540459 29803080918 43176258253 44704621377 86352516506 89409242754 129528774759 259057549518 388586324277 561291357289 777172648554 1122582714578 1683874071867 3367748143734 5051622215601 10103244431202