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312349148101 = 3128513534121
BaseRepresentation
bin1001000101110010111…
…01011100001111000101
31002212020011000202020201
410202321131130033011
520104142340214401
6355254034130501
731365205644514
oct4427135341705
91085204022221
10312349148101
11110514a51021
1250651120a31
13235ba40b933
141119128867b
1581d18eab01
hex48b975c3c5

312349148101 has 8 divisors (see below), whose sum is σ = 322538110208. Its totient is φ = 302167260000.

The previous prime is 312349148053. The next prime is 312349148129. The reversal of 312349148101 is 101841943213.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312349148101 - 213 = 312349139909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312349148141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1678680 + ... + 1855441.

It is an arithmetic number, because the mean of its divisors is an integer number (40317263776).

Almost surely, 2312349148101 is an apocalyptic number.

312349148101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312349148101 is a deficient number, since it is larger than the sum of its proper divisors (10188962107).

312349148101 is a wasteful number, since it uses less digits than its factorization.

312349148101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537003.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 312349148101 in words is "three hundred twelve billion, three hundred forty-nine million, one hundred forty-eight thousand, one hundred one".

Divisors: 1 31 2851 88381 3534121 109557751 10075778971 312349148101