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23233122133232 = 2411379401868583
BaseRepresentation
bin1010100100001011000011…
…11111011110010011110000
310001021001202020011011121112
411102011201333132103300
511021122413231230412
6121225052102012452
74615352265512054
oct522054177362360
9101231666134545
1023233122133232
117448125837940
122732899717128
13cc6b492a22bb
145a46bc199c64
152a45307e4722
hex152161fde4f0

23233122133232 has 80 divisors (see below), whose sum is σ = 49358779764480. Its totient is φ = 10506367872000.

The previous prime is 23233122133181. The next prime is 23233122133237.

23233122133232 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233122133237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26314013 + ... + 27182595.

It is an arithmetic number, because the mean of its divisors is an integer number (616984747056).

Almost surely, 223233122133232 is an apocalyptic number.

23233122133232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23233122133232 is an abundant number, since it is smaller than the sum of its proper divisors (26125657631248).

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

23233122133232 is a wasteful number, since it uses less digits than its factorization.

23233122133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869382 (or 869376 counting only the distinct ones).

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 2323312 and 2133232, that added together give a palindrome (4456544).

The spelling of 23233122133232 in words is "twenty-three trillion, two hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 379 401 758 802 1516 1604 3032 3208 4169 4411 6064 6416 8338 8822 16676 17644 33352 35288 66704 70576 151979 303958 607916 868583 1215832 1671769 1737166 2431664 3343538 3474332 6687076 6948664 9554413 13374152 13897328 19108826 26748304 38217652 76435304 152870608 329192957 348301783 658385914 696603566 1316771828 1393207132 2633543656 2786414264 3621122527 3831319613 5267087312 5572828528 7242245054 7662639226 14484490108 15325278452 28968980216 30650556904 57937960432 61301113808 132006375757 264012751514 528025503028 1056051006056 1452070133327 2112102012112 2904140266654 5808280533308 11616561066616 23233122133232