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10311322104 = 2332477334157
BaseRepresentation
bin10011001101001101…
…00100100111111000
3222121121120102202200
421212212210213320
5132104144301404
64423103230200
7513344535366
oct114646444770
928547512680
1010311322104
114411521a06
121bb92a8360
13c84350835
146db642636
154053a6839
hex2669a49f8

10311322104 has 96 divisors (see below), whose sum is σ = 28566457920. Its totient is φ = 3358579968.

The previous prime is 10311322093. The next prime is 10311322121. The reversal of 10311322104 is 40122311301.

10311322104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478394 + ... + 2482550.

It is an arithmetic number, because the mean of its divisors is an integer number (297567270).

Almost surely, 210311322104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283228960).

10311322104 is an abundant number, since it is smaller than the sum of its proper divisors (18255135816).

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

10311322104 is a wasteful number, since it uses less digits than its factorization.

10311322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4942 counting only the distinct ones).

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

Adding to 10311322104 its reverse (40122311301), we get a palindrome (50433633405).

The spelling of 10311322104 in words is "ten billion, three hundred eleven million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 733 846 1128 1466 1692 2199 2932 3384 4157 4398 5864 6597 8314 8796 12471 13194 16628 17592 24942 26388 33256 34451 37413 49884 52776 68902 74826 99768 103353 137804 149652 195379 206706 275608 299304 310059 390758 413412 586137 620118 781516 826824 1172274 1240236 1563032 1758411 2344548 2480472 3047081 3516822 4689096 6094162 7033644 9141243 12188324 14067288 18282486 24376648 27423729 36564972 54847458 73129944 109694916 143212807 219389832 286425614 429638421 572851228 859276842 1145702456 1288915263 1718553684 2577830526 3437107368 5155661052 10311322104