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10331313120 = 253257174523
BaseRepresentation
bin10011001111100101…
…10101001111100000
3222200000012002021200
421213302311033200
5132124304004440
64425055521200
7514006466262
oct114762651740
928600162250
1010331313120
114421836507
122003b29200
13c8852cb3b
14700167b32
15407004c30
hex267cb53e0

10331313120 has 72 divisors (see below), whose sum is σ = 35255610936. Its totient is φ = 2755016448.

The previous prime is 10331313119. The next prime is 10331313143. The reversal of 10331313120 is 2131313301.

It is a happy number.

10331313120 is a `hidden beast` number, since 1 + 0 + 331 + 313 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 10331313093 and 10331313102.

It is a congruent number.

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, 3585822 + ... + 3588701.

It is an arithmetic number, because the mean of its divisors is an integer number (489661263).

Almost surely, 210331313120 is an apocalyptic number.

10331313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10331313120 is an abundant number, since it is smaller than the sum of its proper divisors (24924297816).

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

10331313120 is a wasteful number, since it uses less digits than its factorization.

10331313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174544 (or 7174533 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10331313120 its reverse (2131313301), we get a palindrome (12462626421).

The spelling of 10331313120 in words is "ten billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7174523 14349046 21523569 28698092 35872615 43047138 57396184 64570707 71745230 86094276 107617845 114792368 129141414 143490460 172188552 215235690 229584736 258282828 286980920 322853535 344377104 430471380 516565656 573961840 645707070 688754208 860942760 1033131312 1147923680 1291414140 1721885520 2066262624 2582828280 3443771040 5165656560 10331313120