Search a number
-
+
131012012212120 = 235131499168076169
BaseRepresentation
bin11101110010011110011100…
…011100101111111110011000
3122011212121220101112022111001
4131302132130130233332120
5114133000100111241440
61142350030523514344
736411206536446214
oct3562363434577630
9564777811468431
10131012012212120
1138820978465956
121283b0099889b4
1358144c239cc40
14244d02dac1944
151022dca693b9a
hex77279c72ff98

131012012212120 has 64 divisors (see below), whose sum is σ = 317663961300000. Its totient is φ = 48341395135488.

The previous prime is 131012012212031. The next prime is 131012012212141. The reversal of 131012012212120 is 21212210210131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83258605 + ... + 84817564.

Almost surely, 2131012012212120 is an apocalyptic number.

131012012212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012012212120 is an abundant number, since it is smaller than the sum of its proper divisors (186651949087880).

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

131012012212120 is a wasteful number, since it uses less digits than its factorization.

131012012212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168077692 (or 168077688 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 131012012212120 its reverse (21212210210131), we get a palindrome (152224222422251).

The spelling of 131012012212120 in words is "one hundred thirty-one trillion, twelve billion, twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1499 2998 5996 7495 11992 14990 19487 29980 38974 59960 77948 97435 155896 194870 389740 779480 168076169 336152338 672304676 840380845 1344609352 1680761690 2184990197 3361523380 4369980394 6723046760 8739960788 10924950985 17479921576 21849901970 43699803940 87399607880 251946177331 503892354662 1007784709324 1259730886655 2015569418648 2519461773310 3275300305303 5038923546620 6550600610606 10077847093240 13101201221212 16376501526515 26202402442424 32753003053030 65506006106060 131012012212120