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231433202334132 = 223237414237771961
BaseRepresentation
bin110100100111110010111101…
…110100000111100110110100
31010100102210112210100221111100
4310213302331310013212310
5220313300144244143012
62140114540112410100
766514332333604041
oct6447627564074664
91110383483327440
10231433202334132
11678182a72a2757
1221b5937b246930
139c1a098c75146
1441215d905a1c8
151bb5196d118dc
hexd27cbdd079b4

231433202334132 has 72 divisors (see below), whose sum is σ = 615477048673032. Its totient is φ = 73228699468800.

The previous prime is 231433202334107. The next prime is 231433202334143.

231433202334132 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 3 + 3 + 2 + 0 + 233 + 413 + 2 = 666.

231433202334132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2034491438736 + 229398710895396 = 1426356^2 + 15145914^2 .

It is a super-2 number, since 2×2314332023341322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2118831369 + ... + 2118940592.

It is an arithmetic number, because the mean of its divisors is an integer number (8548292342681).

Almost surely, 2231433202334132 is an apocalyptic number.

It is an amenable number.

231433202334132 is an abundant number, since it is smaller than the sum of its proper divisors (384043846338900).

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

231433202334132 is a wasteful number, since it uses less digits than its factorization.

231433202334132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237772049 (or 4237772044 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 23143320 and 2334132, that added together give a palindrome (25477452).

The spelling of 231433202334132 in words is "two hundred thirty-one trillion, four hundred thirty-three billion, two hundred two million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 9102 13653 18204 27306 54612 4237771961 8475543922 12713315883 16951087844 25426631766 38139947649 50853263532 76279895298 152559790596 156797562557 173748650401 313595125114 347497300802 470392687671 521245951203 627190250228 694994601604 940785375342 1042491902406 1411178063013 1563737853609 1881570750684 2084983804812 2822356126026 3127475707218 5644712252052 6254951414436 6428700064837 12857400129674 19286100194511 25714800259348 38572200389022 57858300583533 77144400778044 115716601167066 231433202334132