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23112300321132 = 22311375980207597
BaseRepresentation
bin1010100000101010000000…
…11100110101100101101100
310000211111212221121011211220
411100111000130311211230
511012132442340234012
6121053351051143340
74603544230166031
oct520250034654554
9100744787534756
1023112300321132
117400964aa4170
12271339a744b50
13cb8632a68ba9
1459c8d9a4b388
152a130d60908c
hex15054073596c

23112300321132 has 96 divisors (see below), whose sum is σ = 61445436675840. Its totient is φ = 6698938417920.

The previous prime is 23112300321127. The next prime is 23112300321197.

23112300321132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×231123003211322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39815643 + ... + 40391954.

It is an arithmetic number, because the mean of its divisors is an integer number (640056632040).

Almost surely, 223112300321132 is an apocalyptic number.

23112300321132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23112300321132 is an abundant number, since it is smaller than the sum of its proper divisors (38333136354708).

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

23112300321132 is a wasteful number, since it uses less digits than its factorization.

23112300321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80207711 (or 80207709 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 23112300 and 321132, that added together give a palindrome (23433432).

The spelling of 23112300321132 in words is "twenty-three trillion, one hundred twelve billion, three hundred million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 59 66 74 111 118 132 148 177 222 236 354 407 444 649 708 814 1221 1298 1628 1947 2183 2442 2596 3894 4366 4884 6549 7788 8732 13098 24013 26196 48026 72039 96052 144078 288156 80207597 160415194 240622791 320830388 481245582 882283567 962491164 1764567134 2646850701 2967681089 3529134268 4732248223 5293701402 5935362178 8903043267 9464496446 10587402804 11870724356 14196744669 17806086534 18928992892 28393489338 32644491979 35612173068 52054730453 56786978676 65288983958 97933475937 104109460906 130577967916 156164191359 175093184251 195866951874 208218921812 312328382718 350186368502 391733903748 525279552753 624656765436 700372737004 1050559105506 1926025026761 2101118211012 3852050053522 5778075080283 7704100107044 11556150160566 23112300321132