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312300211122 = 235642593027
BaseRepresentation
bin1001000101101101000…
…10110000101110110010
31002212002201221111100000
410202312202300232302
520104042323223442
6355245125210430
731364042665224
oct4426642605662
91085081844300
10312300211122
1111049a366a39
1250638860a16
13235b0236343
141118898a414
1581cc480d4c
hex48b68b0bb2

312300211122 has 24 divisors (see below), whose sum is σ = 701711586576. Its totient is φ = 104100070212.

The previous prime is 312300211063. The next prime is 312300211141. The reversal of 312300211122 is 221112003213.

312300211122 is a `hidden beast` number, since 31 + 2 + 300 + 211 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312300211095 and 312300211104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321296028 + ... + 321296999.

It is an arithmetic number, because the mean of its divisors is an integer number (29237982774).

Almost surely, 2312300211122 is an apocalyptic number.

312300211122 is an abundant number, since it is smaller than the sum of its proper divisors (389411375454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312300211122 is an equidigital number, since it uses as much as digits as its factorization.

312300211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642593044 (or 642593032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312300211122 its reverse (221112003213), we get a palindrome (533412214335).

The spelling of 312300211122 in words is "three hundred twelve billion, three hundred million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 642593027 1285186054 1927779081 3855558162 5783337243 11566674486 17350011729 34700023458 52050035187 104100070374 156150105561 312300211122