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131012223300224 = 277192405038779
BaseRepresentation
bin11101110010011110101001…
…000001111111001010000000
3122011212122110002201200220222
4131302132221001333022000
5114133001013131101344
61142350103504122212
736411215011614350
oct3562365101771200
9564778402650828
10131012223300224
1138820a76631532
121283b068606368
13581452703a146
14244d04db4cb60
151022ddde8d5ee
hex7727a907f280

131012223300224 has 96 divisors (see below), whose sum is σ = 314812341367200. Its totient is φ = 53192932637184.

The previous prime is 131012223300223. The next prime is 131012223300241. The reversal of 131012223300224 is 422003322210131.

It is a junction number, because it is equal to n+sod(n) for n = 131012223300193 and 131012223300202.

It is not an unprimeable number, because it can be changed into a prime (131012223300223) 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 11 ways as a sum of consecutive naturals, for example, 202195934 + ... + 202842845.

It is an arithmetic number, because the mean of its divisors is an integer number (3279295222575).

Almost surely, 2131012223300224 is an apocalyptic number.

131012223300224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131012223300224 is an abundant number, since it is smaller than the sum of its proper divisors (183800118066976).

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

131012223300224 is an equidigital number, since it uses as much as digits as its factorization.

131012223300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405038838 (or 405038807 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131012223300224 its reverse (422003322210131), we get a palindrome (553015545510355).

The spelling of 131012223300224 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-three million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 361 448 532 608 722 896 1064 1216 1444 2128 2432 2527 2888 4256 5054 5776 8512 10108 11552 17024 20216 23104 40432 46208 80864 161728 323456 405038779 810077558 1620155116 2835271453 3240310232 5670542906 6480620464 7695736801 11341085812 12961240928 15391473602 22682171624 25922481856 30782947204 45364343248 51844963712 53870157607 61565894408 90728686496 107740315214 123131788816 146218999219 181457372992 215480630428 246263577632 292437998438 362914745984 430961260856 492527155264 584875996876 861922521712 985054310528 1023532994533 1169751993752 1723845043424 2047065989066 2339503987504 3447690086848 4094131978132 4679007975008 6895380173696 8188263956264 9358015950016 16376527912528 18716031900032 32753055825056 65506111650112 131012223300224