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10102460120 = 2351747316097
BaseRepresentation
bin10010110100010011…
…10100111011011000
3222002001120010222122
421122021310323120
5131142212210440
64350242440412
7505230331334
oct113211647330
928061503878
1010102460120
1143146368a5
121b5b363108
13c4ccb296c
146bb9d47c4
153e1d9b7b5
hex25a274ed8

10102460120 has 64 divisors (see below), whose sum is σ = 24579780480. Its totient is φ = 3722346496.

The previous prime is 10102460117. The next prime is 10102460143. The reversal of 10102460120 is 2106420101.

10102460120 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 (17).

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 15 ways as a sum of consecutive naturals, for example, 126089 + ... + 190008.

It is an arithmetic number, because the mean of its divisors is an integer number (384059070).

Almost surely, 210102460120 is an apocalyptic number.

10102460120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102460120 is an abundant number, since it is smaller than the sum of its proper divisors (14477320360).

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

10102460120 is a wasteful number, since it uses less digits than its factorization.

10102460120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316172 (or 316168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10102460120 its reverse (2106420101), we get a palindrome (12208880221).

The spelling of 10102460120 in words is "ten billion, one hundred two million, four hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 340 376 470 680 799 940 1598 1880 3196 3995 6392 7990 15980 31960 316097 632194 1264388 1580485 2528776 3160970 5373649 6321940 10747298 12643880 14856559 21494596 26868245 29713118 42989192 53736490 59426236 74282795 107472980 118852472 148565590 214945960 252561503 297131180 505123006 594262360 1010246012 1262807515 2020492024 2525615030 5051230060 10102460120