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131012224040221 = 31137281379289657
BaseRepresentation
bin11101110010011110101001…
…000100110011110100011101
3122011212122110011010022000021
4131302132221010303310131
5114133001013323241341
61142350103532032141
736411215021115646
oct3562365104636435
9564778404108007
10131012224040221
1138820a76a974a7
121283b068902651
135814527238c04
14244d04dca26cd
151022dde0879d1
hex7727a9133d1d

131012224040221 has 32 divisors (see below), whose sum is σ = 137071541652480. Its totient is φ = 125081339443200.

The previous prime is 131012224040197. The next prime is 131012224040251. The reversal of 131012224040221 is 122040422210131.

It is a cyclic number.

It is not a de Polignac number, because 131012224040221 - 211 = 131012224038173 is a prime.

It is a super-2 number, since 2×1310122240402212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012224040251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452156425 + ... + 452446081.

It is an arithmetic number, because the mean of its divisors is an integer number (4283485676640).

Almost surely, 2131012224040221 is an apocalyptic number.

It is an amenable number.

131012224040221 is a deficient number, since it is larger than the sum of its proper divisors (6059317612259).

131012224040221 is a wasteful number, since it uses less digits than its factorization.

131012224040221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290485.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131012224040221 its reverse (122040422210131), we get a palindrome (253052646250352).

The spelling of 131012224040221 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, forty thousand, two hundred twenty-one".

Divisors: 1 31 137 281 379 4247 8711 11749 38497 51923 106499 289657 1193407 1609613 3301469 8979367 14590363 39683009 81393617 109780003 452301253 1230173279 2523202127 3403180093 11150925529 15039860411 30848180843 345678691399 466235672741 956293606133 4226200775491 131012224040221