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10133313520 = 2451111515129
BaseRepresentation
bin10010110111111111…
…00001011111110000
3222011012121122220011
421123333201133300
5131223112013040
64353304024304
7506053513051
oct113377413760
928135548804
1010133313520
11432aa9a480
121b69762094
13c564c6205
146c1b46728
153e49433ea
hex25bfe17f0

10133313520 has 40 divisors (see below), whose sum is σ = 25701770160. Its totient is φ = 3684840960.

The previous prime is 10133313493. The next prime is 10133313521. The reversal of 10133313520 is 2531333101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101333135202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10133313491 and 10133313500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133313521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5756685 + ... + 5758444.

It is an arithmetic number, because the mean of its divisors is an integer number (642544254).

Almost surely, 210133313520 is an apocalyptic number.

10133313520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133313520 is an abundant number, since it is smaller than the sum of its proper divisors (15568456640).

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

10133313520 is a wasteful number, since it uses less digits than its factorization.

10133313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515153 (or 11515147 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 10133313520 its reverse (2531333101), we get a palindrome (12664646621).

The spelling of 10133313520 in words is "ten billion, one hundred thirty-three million, three hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11515129 23030258 46060516 57575645 92121032 115151290 126666419 184242064 230302580 253332838 460605160 506665676 633332095 921210320 1013331352 1266664190 2026662704 2533328380 5066656760 10133313520