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23131333313132 = 221119791255327901
BaseRepresentation
bin1010100001001101011101…
…11001111100001001101100
310000220100000101112100111112
411100212232321330021230
511012440432312010012
6121110215434211152
74605120001021442
oct520465671741154
9100810011470445
1023131333313132
117408a41693820
122717010883ab8
13cba376cb8435
1459d7c3732b92
152a1a7450e122
hex1509aee7c26c

23131333313132 has 96 divisors (see below), whose sum is σ = 47077861555200. Its totient is φ = 9833638464000.

The previous prime is 23131333313087. The next prime is 23131333313149.

23131333313132 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 829036382 + ... + 829064282.

It is an arithmetic number, because the mean of its divisors is an integer number (490394391200).

Almost surely, 223131333313132 is an apocalyptic number.

23131333313132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23131333313132 is an abundant number, since it is smaller than the sum of its proper divisors (23946528242068).

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

23131333313132 is a wasteful number, since it uses less digits than its factorization.

23131333313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40567 (or 40565 counting only the distinct ones).

The product of its digits is 26244, while the sum is 32.

It can be divided in two parts, 2313133 and 3313132, that added together give a palindrome (5626265).

The spelling of 23131333313132 in words is "twenty-three trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 76 79 158 209 316 418 836 869 1501 1738 3002 3476 6004 12553 16511 25106 27901 33022 50212 55802 66044 111604 138083 238507 276166 306911 477014 530119 552332 613822 954028 991687 1060238 1227644 1983374 2120476 2204179 2623577 3966748 4408358 5247154 5831309 8816716 10494308 10908557 11662618 18842053 21817114 23325236 24245969 37684106 41879401 43634228 48491938 75368212 83758802 96983876 167517604 207262583 350241253 414525166 460673411 700482506 829050332 921346822 1400965012 1842693644 3852653783 6654583807 7705307566 13309167614 15410615132 26618335228 27669058987 55338117974 73200421877 110676235948 146400843754 292801687508 304359648857 525712120753 608719297714 1051424241506 1217438595428 2102848483012 5782833328283 11565666656566 23131333313132