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312303400131 = 31761941106681
BaseRepresentation
bin1001000101101101011…
…10111011010011000011
31002212002221221111211110
410202312232323103003
520104044132301011
6355245321414403
731364112046512
oct4426656732303
91085087844743
10312303400131
111104a1144988
125063993a403
13235b0ab1a28
141118917a679
1581cc8b0ba6
hex48b6bbb4c3

312303400131 has 32 divisors (see below), whose sum is σ = 448607198016. Its totient is φ = 192536064000.

The previous prime is 312303400103. The next prime is 312303400147. The reversal of 312303400131 is 131004303213.

It is a de Polignac number, because none of the positive numbers 2k-312303400131 is a prime.

It is a super-3 number, since 3×3123034001313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 312303400098 and 312303400107.

It is not an unprimeable number, because it can be changed into a prime (312303400531) 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, 2874111 + ... + 2980791.

It is an arithmetic number, because the mean of its divisors is an integer number (14018974938).

Almost surely, 2312303400131 is an apocalyptic number.

312303400131 is a deficient number, since it is larger than the sum of its proper divisors (136303797885).

312303400131 is a wasteful number, since it uses less digits than its factorization.

312303400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107703.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312303400131 its reverse (131004303213), we get a palindrome (443307703344).

The spelling of 312303400131 in words is "three hundred twelve billion, three hundred three million, four hundred thousand, one hundred thirty-one".

Divisors: 1 3 17 51 61 183 941 1037 2823 3111 15997 47991 57401 106681 172203 320043 975817 1813577 2927451 5440731 6507541 19522623 100386821 110628197 301160463 331884591 1706575957 5119727871 6123596081 18370788243 104101133377 312303400131