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231312322311020 = 22559673547824861
BaseRepresentation
bin110100100110000010011000…
…110011011011001101101100
31010100000020112110021112020022
4310212002120303123031230
5220304310114002423040
62135543225222141312
766502522660424426
oct6446023063331554
91110006473245208
10231312322311020
1167781006710205
1221b39a64881838
139c0b87366a152
14411980ccb7816
151bb1e6e9786b5
hexd26098cdb36c

231312322311020 has 96 divisors (see below), whose sum is σ = 501503954031360. Its totient is φ = 89573777821440.

The previous prime is 231312322310947. The next prime is 231312322311023. The reversal of 231312322311020 is 20113223213132.

It is a super-2 number, since 2×2313123223110202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231312322311023) 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 31 ways as a sum of consecutive naturals, for example, 280013390 + ... + 280838250.

It is an arithmetic number, because the mean of its divisors is an integer number (5223999521160).

Almost surely, 2231312322311020 is an apocalyptic number.

231312322311020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231312322311020 is an abundant number, since it is smaller than the sum of its proper divisors (270191631720340).

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

231312322311020 is a wasteful number, since it uses less digits than its factorization.

231312322311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828543 (or 828541 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 231312322311020 its reverse (20113223213132), we get a palindrome (251425545524152).

The spelling of 231312322311020 in words is "two hundred thirty-one trillion, three hundred twelve billion, three hundred twenty-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 59 67 118 134 236 268 295 335 590 670 1180 1340 3547 3953 7094 7906 14188 15812 17735 19765 35470 39530 70940 79060 209273 237649 418546 475298 824861 837092 950596 1046365 1188245 1649722 2092730 2376490 3299444 4124305 4185460 4752980 8248610 14021291 16497220 28042582 48666799 55265687 56085164 70106455 97333598 110531374 140212910 194667196 221062748 243333995 276328435 280425820 486667990 552656870 973335980 1105313740 2925781967 3260675533 5851563934 6521351066 11703127868 13042702132 14628909835 16303377665 29257819670 32606755330 58515639340 65213510660 172621136053 196027391789 345242272106 392054783578 690484544212 784109567156 863105680265 980136958945 1726211360530 1960273917890 3452422721060 3920547835780 11565616115551 23131232231102 46262464462204 57828080577755 115656161155510 231312322311020