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131011203300132 = 223173781712124229
BaseRepresentation
bin11101110010011101101100…
…001110111111101100100100
3122011212112211000102022211210
4131302131230032333230210
5114132441421021101012
61142345414350031420
736411150515014221
oct3562355416775444
9564775730368753
10131011203300132
11388205a2898351
121283aa22aa8570
1358143c39197ac
14244cd944b6948
151022d7e65b23c
hex77276c3bfb24

131011203300132 has 96 divisors (see below), whose sum is σ = 332463543189120. Its totient is φ = 39985788119040.

The previous prime is 131011203300041. The next prime is 131011203300157. The reversal of 131011203300132 is 231003302110131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131011203300099 and 131011203300108.

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, 60612594 + ... + 62736822.

It is an arithmetic number, because the mean of its divisors is an integer number (3463161908220).

Almost surely, 2131011203300132 is an apocalyptic number.

131011203300132 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 131011203300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166231771594560).

131011203300132 is an abundant number, since it is smaller than the sum of its proper divisors (201452339888988).

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

131011203300132 is a wasteful number, since it uses less digits than its factorization.

131011203300132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132461 (or 2132459 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131011203300132 its reverse (231003302110131), we get a palindrome (362014505410263).

The spelling of 131011203300132 in words is "one hundred thirty-one trillion, eleven billion, two hundred three million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 7548 8171 16342 24513 32684 49026 98052 138907 277814 302327 416721 555628 604654 833442 906981 1209308 1666884 1813962 2124229 3627924 4248458 5139559 6372687 8496916 10279118 12745374 15418677 20558236 25490748 30837354 36111893 61674708 72223786 78596473 108335679 144447572 157192946 216671358 235789419 314385892 433342716 471578838 943157676 1336140041 2672280082 4008420123 5344560164 8016840246 16033680492 17357075159 34714150318 52071225477 69428300636 104142450954 208284901908 295070277703 590140555406 642211780883 885210833109 1180281110812 1284423561766 1770421666218 1926635342649 2568847123532 3540843332436 3853270685298 7706541370596 10917600275011 21835200550022 32752800825033 43670401100044 65505601650066 131011203300132