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312217712213 = 11167266363823
BaseRepresentation
bin1001000101100011010…
…00000011011001010101
31002211212222201010002212
410202301220003121111
520103410213242323
6355233021043205
731362021523511
oct4426150033125
91084788633085
10312217712213
11110457839320
12506150b6505
132359910c714
141117ba33141
1581c50d6b78
hex48b1a03655

312217712213 has 16 divisors (see below), whose sum is σ = 342774706176. Its totient is φ = 282024312240.

The previous prime is 312217712201. The next prime is 312217712263.

312217712213 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-312217712213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312217712213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312217712263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4860020 + ... + 4923842.

It is an arithmetic number, because the mean of its divisors is an integer number (21423419136).

Almost surely, 2312217712213 is an apocalyptic number.

It is an amenable number.

312217712213 is a deficient number, since it is larger than the sum of its proper divisors (30556993963).

312217712213 is a wasteful number, since it uses less digits than its factorization.

312217712213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66664.

The product of its digits is 7056, while the sum is 32.

The spelling of 312217712213 in words is "three hundred twelve billion, two hundred seventeen million, seven hundred twelve thousand, two hundred thirteen".

Divisors: 1 11 167 1837 2663 29293 63823 444721 702053 4891931 10658441 117242851 169960649 1869567139 28383428383 312217712213