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10042421120 = 27519825857
BaseRepresentation
bin10010101101001001…
…10010111110000000
3221220212120211221222
421112210302332000
5131031324433440
64340255534212
7503601112454
oct112644627600
927825524858
1010042421120
114293759696
121b4322a368
13c40721024
146b3a46664
153db98c2b5
hex256932f80

10042421120 has 64 divisors (see below), whose sum is σ = 25271254800. Its totient is φ = 3805544448.

The previous prime is 10042421117. The next prime is 10042421131. The reversal of 10042421120 is 2112424001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400769 + ... + 425088.

Almost surely, 210042421120 is an apocalyptic number.

10042421120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042421120 is an abundant number, since it is smaller than the sum of its proper divisors (15228833680).

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

10042421120 is an equidigital number, since it uses as much as digits as its factorization.

10042421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825895 (or 825883 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10042421120 its reverse (2112424001), we get a palindrome (12154845121).

The spelling of 10042421120 in words is "ten billion, forty-two million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 825857 1651714 3303428 4129285 6606856 8258570 13213712 15691283 16517140 26427424 31382566 33034280 52854848 62765132 66068560 78456415 105709696 125530264 132137120 156912830 251060528 264274240 313825660 502121056 528548480 627651320 1004242112 1255302640 2008484224 2510605280 5021210560 10042421120