Search a number
-
+
131012222223321 = 32236834817192373
BaseRepresentation
bin11101110010011110101000…
…111101111000001111011001
3122011212122110000200222200200
4131302132220331320033121
5114133001012342121241
61142350103425052413
736411214666510605
oct3562365075701731
9564778400628620
10131012222223321
1138820a75a6642a
121283b068187109
135814526a50c1a
14244d04d94c505
151022dddd294b6
hex7727a8f783d9

131012222223321 has 48 divisors (see below), whose sum is σ = 197798897552256. Its totient is φ = 83403954805248.

The previous prime is 131012222223299. The next prime is 131012222223409. The reversal of 131012222223321 is 123322222210131.

131012222223321 is a `hidden beast` number, since 1 + 3 + 101 + 2 + 2 + 2 + 222 + 332 + 1 = 666.

It is not a de Polignac number, because 131012222223321 - 217 = 131012222092249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131012222423321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680936091 + ... + 681128463.

It is an arithmetic number, because the mean of its divisors is an integer number (4120810365672).

Almost surely, 2131012222223321 is an apocalyptic number.

It is an amenable number.

131012222223321 is a deficient number, since it is larger than the sum of its proper divisors (66786675328935).

131012222223321 is a wasteful number, since it uses less digits than its factorization.

131012222223321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197902 (or 197899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131012222223321 its reverse (123322222210131), we get a palindrome (254334444433452).

The spelling of 131012222223321 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 23 69 207 683 2049 4817 6147 14451 15709 43353 47127 110791 141381 192373 332373 577119 997119 1731357 3290011 4424579 9870033 13273737 29610099 39821211 75670253 131390759 227010759 394172277 681032277 926660741 1182516831 2779982223 3021987457 8339946669 9065962371 21313197043 27197887113 63939591129 191818773387 632909286103 1898727858309 5696183574927 14556913580369 43670740741107 131012222223321