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10240014100 = 2252313479683
BaseRepresentation
bin10011000100101101…
…00011011100010100
3222102122101121120111
421202112203130110
5131432420422400
64412035012404
7511520453341
oct114226433424
928378347514
1010240014100
114385248178
121b9943a104
13c72644854
146d1d9d7c8
153edebd3ba
hex2625a3714

10240014100 has 72 divisors (see below), whose sum is σ = 22371068160. Its totient is φ = 4068430080.

The previous prime is 10240014061. The next prime is 10240014131. The reversal of 10240014100 is 141004201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14992359 + ... + 14993041.

It is an arithmetic number, because the mean of its divisors is an integer number (310709280).

Almost surely, 210240014100 is an apocalyptic number.

10240014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240014100 is an abundant number, since it is smaller than the sum of its proper divisors (12131054060).

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

10240014100 is a wasteful number, since it uses less digits than its factorization.

10240014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10240014100 its reverse (141004201), we get a palindrome (10381018301).

The spelling of 10240014100 in words is "ten billion, two hundred forty million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 479 626 683 958 1252 1366 1565 1916 2395 2732 3130 3415 4790 6260 6830 7825 9580 11975 13660 15650 17075 23950 31300 34150 47900 68300 149927 213779 299854 327157 427558 599708 654314 749635 855116 1068895 1308628 1499270 1635785 2137790 2998540 3271570 3748175 4275580 5344475 6543140 7496350 8178925 10688950 14992700 16357850 21377900 32715700 102400141 204800282 409600564 512000705 1024001410 2048002820 2560003525 5120007050 10240014100