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2312019021312 = 29327111319233137
BaseRepresentation
bin100001101001001111000…
…100101000111000000000
322012000201120200102101200
4201221033010220320000
5300340003332140222
64530043223301200
7326015662266030
oct41511704507000
98160646612350
102312019021312
11811581510750
123141025aa800
1313a03a4575c0
147dc8bd618c0
154021a917eac
hex21a4f128e00

2312019021312 has 3840 divisors, whose sum is σ = 10432612270080. Its totient is φ = 472979865600.

The previous prime is 2312019021269. The next prime is 2312019021373. The reversal of 2312019021312 is 2131209102132.

2312019021312 is a `hidden beast` number, since 2 + 312 + 0 + 19 + 0 + 21 + 312 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62487000558 + ... + 62487000594.

It is an arithmetic number, because the mean of its divisors is an integer number (2716826112).

Almost surely, 22312019021312 is an apocalyptic number.

2312019021312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312019021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216306135040).

2312019021312 is an abundant number, since it is smaller than the sum of its proper divisors (8120593248768).

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

2312019021312 is a wasteful number, since it uses less digits than its factorization.

2312019021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 2312019021312 in words is "two trillion, three hundred twelve billion, nineteen million, twenty-one thousand, three hundred twelve".