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313001050131 = 327111957723071
BaseRepresentation
bin1001000111000000101…
…00010000000000010011
31002220220120200210201100
410203200110100000103
520112011232101011
6355442442435443
731420313012520
oct4434024200023
91086816623640
10313001050131
11110819a29730
12507b3502b83
13236924aa593
1411213aa2147
15821dc6bd56
hex48e0510013

313001050131 has 48 divisors (see below), whose sum is σ = 563726112768. Its totient is φ = 162582595200.

The previous prime is 313001050099. The next prime is 313001050133. The reversal of 313001050131 is 131050100313.

313001050131 is a `hidden beast` number, since 3 + 130 + 0 + 1 + 0 + 501 + 31 = 666.

It is not a de Polignac number, because 313001050131 - 25 = 313001050099 is a prime.

It is a super-2 number, since 2×3130010501312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313001050133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13555326 + ... + 13578396.

It is an arithmetic number, because the mean of its divisors is an integer number (11744294016).

Almost surely, 2313001050131 is an apocalyptic number.

313001050131 is a deficient number, since it is larger than the sum of its proper divisors (250725062637).

313001050131 is a wasteful number, since it uses less digits than its factorization.

313001050131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42672 (or 42669 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 313001050131 its reverse (131050100313), we get a palindrome (444051150444).

The spelling of 313001050131 in words is "three hundred thirteen billion, one million, fifty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 19577 23071 58731 69213 137039 161497 176193 207639 215347 253781 411117 484491 646041 761343 1233351 1453473 1507429 1776467 1938123 2284029 4522287 5329401 13566861 15988203 451660967 1354982901 3161626769 4064948703 4968270637 9484880307 14904811911 28454640921 34777894459 44714435733 104333683377 313001050131