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131311133002302 = 231147316631336927
BaseRepresentation
bin11101110110110101000001…
…011100000000101000111110
3122012221012222122001212002120
4131312311001130000220332
5114202400200022033202
61143135300212303410
736441626200302621
oct3566650134005076
9565835878055076
10131311133002302
113892681433a870
1212888b88911b66
135836782004146
14245d6c8159db8
15102aa85a810bc
hex776d41700a3e

131311133002302 has 64 divisors (see below), whose sum is σ = 292602158383104. Its totient is φ = 38943370931040.

The previous prime is 131311133002279. The next prime is 131311133002303. The reversal of 131311133002302 is 203200331113131.

It is a super-2 number, since 2×1313111330023022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311133002303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97550163 + ... + 98887089.

It is an arithmetic number, because the mean of its divisors is an integer number (4571908724736).

Almost surely, 2131311133002302 is an apocalyptic number.

131311133002302 is an abundant number, since it is smaller than the sum of its proper divisors (161291025380802).

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

131311133002302 is a wasteful number, since it uses less digits than its factorization.

131311133002302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368653.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131311133002302 its reverse (203200331113131), we get a palindrome (334511464115433).

The spelling of 131311133002302 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty-three million, two thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 31663 63326 94989 189978 348293 696586 1044879 1336927 1488161 2089758 2673854 2976322 4010781 4464483 8021562 8928966 14706197 16369771 29412394 32739542 44118591 49109313 62835569 88237182 98218626 125671138 188506707 377013414 691191259 1382382518 2073573777 4147147554 42331119601 84662239202 126993358803 253986717606 465642315611 931284631222 1396926946833 1989562621247 2793853893666 3979125242494 5968687863741 11937375727482 21885188833717 43770377667434 65655566501151 131311133002302