Search a number
-
+
131012211340230 = 235113891020582779
BaseRepresentation
bin11101110010011110101000…
…010100010111001111000110
3122011212122102021020001220020
4131302132220110113033012
5114133001002100341410
61142350102355520010
736411214505142513
oct3562365024271706
9564778367201806
10131012211340230
1138820a6a902840
121283b0645b9006
13581452471041c
14244d04c31830a
151022ddcdc9a70
hex7727a85173c6

131012211340230 has 64 divisors (see below), whose sum is σ = 343895573548800. Its totient is φ = 31678889429120.

The previous prime is 131012211340217. The next prime is 131012211340249. The reversal of 131012211340230 is 32043112210131.

It is a self number, because there is not a number n which added to its sum of digits gives 131012211340230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510163020 + ... + 510419759.

It is an arithmetic number, because the mean of its divisors is an integer number (5373368336700).

Almost surely, 2131012211340230 is an apocalyptic number.

131012211340230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131012211340230 is an abundant number, since it is smaller than the sum of its proper divisors (212883362208570).

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

131012211340230 is a wasteful number, since it uses less digits than its factorization.

131012211340230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020583189.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131012211340230 its reverse (32043112210131), we get a palindrome (163055323550361).

The spelling of 131012211340230 in words is "one hundred thirty-one trillion, twelve billion, two hundred eleven million, three hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 389 778 1167 1945 2334 3890 4279 5835 8558 11670 12837 21395 25674 42790 64185 128370 1020582779 2041165558 3061748337 5102913895 6123496674 10205827790 11226410569 15308741685 22452821138 30617483370 33679231707 56132052845 67358463414 112264105690 168396158535 336792317070 397006701031 794013402062 1191020103093 1985033505155 2382040206186 3970067010310 4367073711341 5955100515465 8734147422682 11910201030930 13101221134023 21835368556705 26202442268046 43670737113410 65506105670115 131012211340230