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10124100432 = 2432371900169
BaseRepresentation
bin10010110110111000…
…11000001101010000
3222010120021120220200
421123130120031100
5131213232203212
64352334335200
7505612301535
oct113334301520
928116246820
1010124100432
114325877556
121b6665a500
13c5461b894
146c0828d8c
153e3c236dc
hex25b718350

10124100432 has 60 divisors (see below), whose sum is σ = 29099203380. Its totient is φ = 3283490304.

The previous prime is 10124100431. The next prime is 10124100449. The reversal of 10124100432 is 23400142101.

10124100432 is a `hidden beast` number, since 10 + 124 + 100 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5603420736 + 4520679696 = 74856^2 + 67236^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124100431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944757 + ... + 955412.

It is an arithmetic number, because the mean of its divisors is an integer number (484986723).

Almost surely, 210124100432 is an apocalyptic number.

10124100432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10124100432 is an abundant number, since it is smaller than the sum of its proper divisors (18975102948).

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

10124100432 is a wasteful number, since it uses less digits than its factorization.

10124100432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900220 (or 1900211 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10124100432 its reverse (23400142101), we get a palindrome (33524242533).

The spelling of 10124100432 in words is "ten billion, one hundred twenty-four million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 1900169 3800338 5700507 7600676 11401014 15201352 17101521 22802028 30402704 34203042 45604056 68406084 70306253 91208112 136812168 140612506 210918759 273624336 281225012 421837518 562450024 632756277 843675036 1124900048 1265512554 1687350072 2531025108 3374700144 5062050216 10124100432