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10013231424 = 263723323927
BaseRepresentation
bin10010101001101010…
…11100100101000000
3221211211122212020010
421110311130211000
5131001341401144
64333334144520
7503065030350
oct112465344500
927754585203
1010013231424
114279231a79
121b354b2140
13c37670b11
146adc08b60
153d91235b9
hex254d5c940

10013231424 has 112 divisors (see below), whose sum is σ = 31594641408. Its totient is φ = 2736526848.

The previous prime is 10013231407. The next prime is 10013231429. The reversal of 10013231424 is 42413231001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10013231424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013231429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131052 + ... + 192875.

Almost surely, 210013231424 is an apocalyptic number.

10013231424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10013231424 is an abundant number, since it is smaller than the sum of its proper divisors (21581409984).

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

10013231424 is a wasteful number, since it uses less digits than its factorization.

10013231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323972 (or 323962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10013231424 its reverse (42413231001), we get a palindrome (52426462425).

The spelling of 10013231424 in words is "ten billion, thirteen million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 323927 647854 971781 1295708 1943562 2267489 2591416 3887124 4534978 5182832 6802467 7450321 7774248 9069956 10365664 13604934 14900642 15548496 18139912 20731328 22350963 27209868 29801284 31096992 36279824 44701926 52152247 54419736 59602568 62193984 72559648 89403852 104304494 108839472 119205136 145119296 156456741 178807704 208608988 217678944 238410272 312913482 357615408 417217976 435357888 476820544 625826964 715230816 834435952 1251653928 1430461632 1668871904 2503307856 3337743808 5006615712 10013231424