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10231122024 = 2332613231809
BaseRepresentation
bin10011000011101001…
…01000100001101000
3222102000122211221100
421201310220201220
5131423131401044
64411120241400
7511352050044
oct114164504150
928360584840
1010231122024
114380224452
121b96470260
13c70850376
146d0b27024
153ed313869
hex261d28868

10231122024 has 48 divisors (see below), whose sum is σ = 27754611300. Its totient is φ = 3404795904.

The previous prime is 10231122023. The next prime is 10231122037. The reversal of 10231122024 is 42022113201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9938096100 + 293025924 = 99690^2 + 17118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10231121988 and 10231122006.

It is not an unprimeable number, because it can be changed into a prime (10231122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71769 + ... + 160040.

Almost surely, 210231122024 is an apocalyptic number.

It is an amenable number.

10231122024 is an abundant number, since it is smaller than the sum of its proper divisors (17523489276).

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

10231122024 is a wasteful number, since it uses less digits than its factorization.

10231122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232434 (or 232427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10231122024 its reverse (42022113201), we get a palindrome (52253235225).

The spelling of 10231122024 in words is "ten billion, two hundred thirty-one million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 613 1226 1839 2452 3678 4904 5517 7356 11034 14712 22068 44136 231809 463618 695427 927236 1390854 1854472 2086281 2781708 4172562 5563416 8345124 16690248 142098917 284197834 426296751 568395668 852593502 1136791336 1278890253 1705187004 2557780506 3410374008 5115561012 10231122024