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10312144002 = 2321763153407
BaseRepresentation
bin10011001101010011…
…01101010010000010
3222121200010012012100
421212221231102002
5132104402102002
64423133011230
7513354530526
oct114651552202
928550105170
1010312144002
114411a33466
121bb9623b16
13c8457a974
146db7b7d86
154054ba11c
hex266a6d482

10312144002 has 48 divisors (see below), whose sum is σ = 23695206912. Its totient is φ = 3229994880.

The previous prime is 10312143983. The next prime is 10312144013. The reversal of 10312144002 is 20044121301.

10312144002 is a `hidden beast` number, since 103 + 121 + 440 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166383 + ... + 219789.

It is an arithmetic number, because the mean of its divisors is an integer number (493650144).

Almost surely, 210312144002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312144002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847603456).

10312144002 is an abundant number, since it is smaller than the sum of its proper divisors (13383062910).

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

10312144002 is a wasteful number, since it uses less digits than its factorization.

10312144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54063 (or 54060 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10312144002 its reverse (20044121301), we get a palindrome (30356265303).

The spelling of 10312144002 in words is "ten billion, three hundred twelve million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 631 1262 1893 3786 5679 10727 11358 21454 32181 53407 64362 96543 106814 160221 193086 320442 480663 907919 961326 1815838 2723757 5447514 8171271 16342542 33699817 67399634 101099451 202198902 303298353 572896889 606596706 1145793778 1718690667 3437381334 5156072001 10312144002