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10311056160 = 253522396329
BaseRepresentation
bin10011001101001011…
…00011101100100000
3222121121001220221220
421212211203230200
5132104112244120
64423053415040
7513342350136
oct114645435440
928547056856
1010311056160
114411360119
121bb919a480
13c84289782
146db5b3756
15405352b40
hex266963b20

10311056160 has 96 divisors (see below), whose sum is σ = 32625815040. Its totient is φ = 2737256448.

The previous prime is 10311056159. The next prime is 10311056167. The reversal of 10311056160 is 6165011301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10311056160.

It is not an unprimeable number, because it can be changed into a prime (10311056167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58876 + ... + 155204.

It is an arithmetic number, because the mean of its divisors is an integer number (339852240).

Almost surely, 210311056160 is an apocalyptic number.

10311056160 is a gapful number since it is divisible by the number (10) 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 10311056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312907520).

10311056160 is an abundant number, since it is smaller than the sum of its proper divisors (22314758880).

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

10311056160 is a wasteful number, since it uses less digits than its factorization.

10311056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96570 (or 96562 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 10311056160 its reverse (6165011301), we get a palindrome (16476067461).

The spelling of 10311056160 in words is "ten billion, three hundred eleven million, fifty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 17840 21408 26760 35680 53520 96329 107040 192658 288987 385316 481645 577974 770632 963290 1155948 1444935 1541264 1926580 2311896 2889870 3082528 3853160 4623792 5779740 7706320 9247584 11559480 15412640 21481367 23118960 42962734 46237920 64444101 85925468 107406835 128888202 171850936 214813670 257776404 322220505 343701872 429627340 515552808 644441010 687403744 859254680 1031105616 1288882020 1718509360 2062211232 2577764040 3437018720 5155528080 10311056160