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10645122120 = 2335471887433
BaseRepresentation
bin10011110100111111…
…11010110001001000
31000110212200020022020
421322133322301020
5133300122401440
64520145524440
7524540021313
oct117237726110
930425606266
1010645122120
114572991896
122091043720
131008554139
1472dad397a
154248403d0
hex27a7fac48

10645122120 has 64 divisors (see below), whose sum is σ = 32614859520. Its totient is φ = 2778299904.

The previous prime is 10645122113. The next prime is 10645122127. The reversal of 10645122120 is 2122154601.

It is an interprime number because it is at equal distance from previous prime (10645122113) and next prime (10645122127).

It is a super-2 number, since 2×106451221202 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10645122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938077 + ... + 949356.

It is an arithmetic number, because the mean of its divisors is an integer number (509607180).

Almost surely, 210645122120 is an apocalyptic number.

10645122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10645122120 is an abundant number, since it is smaller than the sum of its proper divisors (21969737400).

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

10645122120 is a wasteful number, since it uses less digits than its factorization.

10645122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887494 (or 1887490 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10645122120 its reverse (2122154601), we get a palindrome (12767276721).

The spelling of 10645122120 in words is "ten billion, six hundred forty-five million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 1887433 3774866 5662299 7549732 9437165 11324598 15099464 18874330 22649196 28311495 37748660 45298392 56622990 75497320 88709351 113245980 177418702 226491960 266128053 354837404 443546755 532256106 709674808 887093510 1064512212 1330640265 1774187020 2129024424 2661280530 3548374040 5322561060 10645122120