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131011301230212 = 2231319914731286483
BaseRepresentation
bin11101110010011101110010…
…000100100100011010000100
3122011212120001211200200122210
4131302131302010210122010
5114132442121103331322
61142345432205023420
736411153114265524
oct3562356204443204
9564776054620583
10131011301230212
11388206430a56a7
121283aa4b854b70
13581440acb70a0
14244cda34c9684
151022d8805270c
hex772772124684

131011301230212 has 96 divisors (see below), whose sum is σ = 330885811379200. Its totient is φ = 40105738189440.

The previous prime is 131011301230211. The next prime is 131011301230219. The reversal of 131011301230212 is 212032103110131.

It is a super-2 number, since 2×1310113012302122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131011301230211) 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, 457165923 + ... + 457452405.

Almost surely, 2131011301230212 is an apocalyptic number.

131011301230212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131011301230212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165442905689600).

131011301230212 is an abundant number, since it is smaller than the sum of its proper divisors (199874510148988).

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

131011301230212 is a wasteful number, since it uses less digits than its factorization.

131011301230212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301433 (or 301431 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131011301230212 its reverse (212032103110131), we get a palindrome (343043404340343).

The spelling of 131011301230212 in words is "one hundred thirty-one trillion, eleven billion, three hundred one million, two hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 597 796 1194 2388 2587 5174 7761 10348 14731 15522 29462 31044 44193 58924 88386 176772 191503 286483 383006 572966 574509 766012 859449 1145932 1149018 1718898 2298036 2931469 3437796 3724279 5862938 7448558 8794407 11172837 11725876 14897116 17588814 22345674 35177628 38109097 44691348 57010117 76218194 114020234 114327291 152436388 171030351 228040468 228654582 342060702 457309164 684121404 741131521 1482263042 2223394563 2964526084 4220181073 4446789126 8440362146 8893578252 12660543219 16880724292 25321086438 50642172876 54862353949 109724707898 164587061847 219449415796 329174123694 658348247388 839816033527 1679632067054 2519448100581 3359264134108 5038896201162 10077792402324 10917608435851 21835216871702 32752825307553 43670433743404 65505650615106 131011301230212