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131012121422223 = 322931227322922091
BaseRepresentation
bin11101110010011110100010…
…111101010110100110001111
3122011212122012000000202120200
4131302132202331112212033
5114133000311041002343
61142350045424344543
736411212333641056
oct3562364275264617
9564778160022520
10131012121422223
1138820a24078038
121283b03a475153
13581450bbb98c2
14244d0403cd39d
151022dd50674d3
hex7727a2f5698f

131012121422223 has 96 divisors (see below), whose sum is σ = 203042517350400. Its totient is φ = 81220978540800.

The previous prime is 131012121422219. The next prime is 131012121422269. The reversal of 131012121422223 is 322224121210131.

131012121422223 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 2 + 12 + 1 + 422 + 223 = 666.

It is not a de Polignac number, because 131012121422223 - 22 = 131012121422219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012121422213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5930554408 + ... + 5930576498.

It is an arithmetic number, because the mean of its divisors is an integer number (2115026222400).

Almost surely, 2131012121422223 is an apocalyptic number.

131012121422223 is a deficient number, since it is larger than the sum of its proper divisors (72030395928177).

131012121422223 is a wasteful number, since it uses less digits than its factorization.

131012121422223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25613 (or 25610 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131012121422223 its reverse (322224121210131), we get a palindrome (453236242632354).

The spelling of 131012121422223 in words is "one hundred thirty-one trillion, twelve billion, one hundred twenty-one million, four hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 3 9 29 31 87 93 227 261 279 681 899 2043 2697 3229 6583 7037 8091 9687 19749 21111 22091 29061 59247 63333 66273 93641 100099 198819 204073 280923 300297 612219 640639 684821 732983 842769 900891 1836657 1921917 2054463 2198949 2902871 5014657 5765751 6163389 6596847 8708613 15043971 19859809 21256507 22722473 26125839 45131913 59579427 63769521 68167419 71331839 145425053 155454367 178738281 191308563 204502257 213995517 436275159 466363101 641986551 658951717 1308825477 1399089303 1976855151 2068623331 2211287009 4508176643 5930565453 6205869993 6633861027 13524529929 16192327453 18617609979 19901583081 40573589787 48576982359 64127323261 145730947077 192381969783 469577496137 501962151043 577145909349 1408732488411 1505886453129 4226197465233 4517659359387 14556902380247 43670707140741 131012121422223