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10112443434 = 2332937174527
BaseRepresentation
bin10010110101011111…
…11010010000101010
3222002202100100112000
421122233322100222
5131202241142214
64351240431430
7505411231242
oct113257722052
928082310460
1010112443434
11431a235475
121b62778576
13c52099a52
146bd072b22
153e2bbe809
hex25abfa42a

10112443434 has 64 divisors (see below), whose sum is σ = 23875430400. Its totient is φ = 3166599744.

The previous prime is 10112443433. The next prime is 10112443459. The reversal of 10112443434 is 43434421101.

10112443434 is a `hidden beast` number, since 101 + 124 + 4 + 3 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10112443398 and 10112443407.

It is not an unprimeable number, because it can be changed into a prime (10112443433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29322 + ... + 145205.

It is an arithmetic number, because the mean of its divisors is an integer number (373053600).

Almost surely, 210112443434 is an apocalyptic number.

10112443434 is an abundant number, since it is smaller than the sum of its proper divisors (13762986966).

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

10112443434 is a wasteful number, since it uses less digits than its factorization.

10112443434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174604 (or 174598 counting only the distinct ones).

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

Adding to 10112443434 its reverse (43434421101), we get a palindrome (53546864535).

The spelling of 10112443434 in words is "ten billion, one hundred twelve million, four hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 37 54 58 74 87 111 174 222 261 333 522 666 783 999 1073 1566 1998 2146 3219 6438 9657 19314 28971 57942 174527 349054 523581 1047162 1570743 3141486 4712229 5061283 6457499 9424458 10122566 12914998 15183849 19372497 30367698 38744994 45551547 58117491 91103094 116234982 136654641 174352473 187267471 273309282 348704946 374534942 561802413 1123604826 1685407239 3370814478 5056221717 10112443434