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10100363240 = 23511124918379
BaseRepresentation
bin10010110100000011…
…10100111111101000
3222001220121121121102
421122001310333220
5131141143110430
64350125500532
7505203446102
oct113201647750
928056547542
1010100363240
114313434440
121b5a711748
13c4c72a3c6
146bb60a572
153e1ad5345
hex25a074fe8

10100363240 has 64 divisors (see below), whose sum is σ = 24813000000. Its totient is φ = 3669719040.

The previous prime is 10100363233. The next prime is 10100363269. The reversal of 10100363240 is 4236300101.

10100363240 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 (20).

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, 540371 + ... + 558749.

It is an arithmetic number, because the mean of its divisors is an integer number (387703125).

Almost surely, 210100363240 is an apocalyptic number.

10100363240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100363240 is an abundant number, since it is smaller than the sum of its proper divisors (14712636760).

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

10100363240 is a wasteful number, since it uses less digits than its factorization.

10100363240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10100363240 its reverse (4236300101), we get a palindrome (14336663341).

The spelling of 10100363240 in words is "ten billion, one hundred million, three hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1249 2498 4996 6245 9992 12490 13739 18379 24980 27478 36758 49960 54956 68695 73516 91895 109912 137390 147032 183790 202169 274780 367580 404338 549560 735160 808676 1010845 1617352 2021690 4043380 8086760 22955371 45910742 91821484 114776855 183642968 229553710 252509081 459107420 505018162 918214840 1010036324 1262545405 2020072648 2525090810 5050181620 10100363240