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312111000021 = 337101157177323
BaseRepresentation
bin1001000101010110100…
…00111110100111010101
31002211121112220120111110
410202223100332213111
520103200404000041
6355214245525233
731356254504322
oct4425320764725
91084545816443
10312111000021
11110402582927
12505a5413819
132357cc88a02
141116b7b5b49
1581baa58516
hex48ab43e9d5

312111000021 has 32 divisors (see below), whose sum is σ = 434378544768. Its totient is φ = 199168070400.

The previous prime is 312111000011. The next prime is 312111000043. The reversal of 312111000021 is 120000111213.

It is not a de Polignac number, because 312111000021 - 26 = 312110999957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312110999970 and 312111000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312111000011) 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, 1671466 + ... + 1848788.

It is an arithmetic number, because the mean of its divisors is an integer number (13574329524).

Almost surely, 2312111000021 is an apocalyptic number.

It is an amenable number.

312111000021 is a deficient number, since it is larger than the sum of its proper divisors (122267544747).

312111000021 is a wasteful number, since it uses less digits than its factorization.

312111000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177621.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 312111000021 its reverse (120000111213), we get a palindrome (432111111234).

The spelling of 312111000021 in words is "three hundred twelve billion, one hundred eleven million, twenty-one", and thus it is an aban number.

Divisors: 1 3 37 101 111 157 303 471 3737 5809 11211 15857 17427 47571 177323 531969 586709 1760127 6560951 17909623 19682853 27839711 53728869 83519133 662656051 1030069307 1987968153 2811810811 3090207921 8435432433 104037000007 312111000021