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10310210130112 = 263122340135807
BaseRepresentation
bin1001011000001000100001…
…1010011001000011000000
31100111122110021022122000121
42112002020122121003000
52322410302243130422
633532240052430024
72112613422060064
oct226021032310300
940448407278017
1010310210130112
113315598917182
1211a6230618314
1359a330367729
14279034291aa4
1512d2d3b6a8c7
hex960886990c0

10310210130112 has 112 divisors (see below), whose sum is σ = 21222947192832. Its totient is φ = 4964347376640.

The previous prime is 10310210130097. The next prime is 10310210130169. The reversal of 10310210130112 is 21103101201301.

It is a happy number.

It is a super-4 number, since 4×103102101301124 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1775476713 + ... + 1775482519.

It is an arithmetic number, because the mean of its divisors is an integer number (189490599936).

Almost surely, 210310210130112 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 10310210130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611473596416).

10310210130112 is an abundant number, since it is smaller than the sum of its proper divisors (10912737062720).

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

10310210130112 is a wasteful number, since it uses less digits than its factorization.

10310210130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10086 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10310210130112 its reverse (21103101201301), we get a palindrome (31413311331413).

The spelling of 10310210130112 in words is "ten trillion, three hundred ten billion, two hundred ten million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 223 248 446 496 892 992 1784 1984 3568 4013 5807 6913 7136 8026 11614 13826 14272 16052 23228 27652 32104 46456 55304 64208 92912 110608 124403 128416 180017 185824 221216 248806 256832 360034 371648 442432 497612 720068 894899 995224 1294961 1440136 1789798 1990448 2589922 2880272 3579596 3980896 5179844 5760544 7159192 7961792 10359688 11521088 14318384 20719376 23303491 27741869 28636768 40143791 41438752 46606982 55483738 57273536 80287582 82877504 93213964 110967476 160575164 186427928 221934952 321150328 372855856 443869904 642300656 722408221 745711712 887739808 1284601312 1444816442 1491423424 1775479616 2569202624 2889632884 5196678493 5779265768 10393356986 11558531536 20786713972 23117063072 41573427944 46234126144 83146855888 161097033283 166293711776 322194066566 332587423552 644388133132 1288776266264 2577552532528 5155105065056 10310210130112