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131115203244012 = 2231319332933132233
BaseRepresentation
bin11101110011111110100011…
…000111010010111111101100
3122012020111020221122212120010
4131303332203013102333230
5114141142414012302022
61142505254241453220
736421521651653541
oct3563764307227754
9565214227585503
10131115203244012
1138860711079499
1212857008341210
13582115902b220
14245401c874bc8
151025919b0950c
hex773fa31d2fec

131115203244012 has 96 divisors (see below), whose sum is σ = 331188625994688. Its totient is φ = 40132585488384.

The previous prime is 131115203243993. The next prime is 131115203244023. The reversal of 131115203244012 is 210442302511131.

It is a super-2 number, since 2×1311152032440122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991480648 + ... + 991612880.

It is an arithmetic number, because the mean of its divisors is an integer number (3449881520778).

Almost surely, 2131115203244012 is an apocalyptic number.

131115203244012 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 131115203244012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165594312997344).

131115203244012 is an abundant number, since it is smaller than the sum of its proper divisors (200073422750676).

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

131115203244012 is a wasteful number, since it uses less digits than its factorization.

131115203244012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165379 (or 165377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 131115203244012 its reverse (210442302511131), we get a palindrome (341557505755143).

The spelling of 131115203244012 in words is "one hundred thirty-one trillion, one hundred fifteen billion, two hundred three million, two hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 772 1158 2316 2509 5018 7527 10036 15054 30108 32933 65866 98799 131732 132233 197598 264466 395196 396699 428129 528932 793398 856258 1284387 1586796 1712516 1719029 2568774 3438058 5137548 5157087 6356069 6876116 10314174 12712138 19068207 20628348 25424276 25520969 38136414 51041938 76272828 76562907 82628897 102083876 153125814 165257794 247886691 306251628 330515588 331772597 495773382 663545194 991546764 995317791 1327090388 1990635582 3981271164 4354829389 8709658778 13064488167 17419317556 26128976334 52257952668 56612782057 113225564114 169838346171 226451128228 339676692342 679353384684 840482072077 1680964144154 2521446216231 3361928288308 5042892432462 10085784864924 10926266937001 21852533874002 32778800811003 43705067748004 65557601622006 131115203244012