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10013231430 = 2325972574463
BaseRepresentation
bin10010101001101010…
…11100100101000110
3221211211122212020100
421110311130211012
5131001341401210
64333334144530
7503065030356
oct112465344506
927754585210
1010013231430
114279231a84
121b354b2146
13c37670b17
146adc08b66
153d91235c0
hex254d5c946

10013231430 has 96 divisors (see below), whose sum is σ = 26411059584. Its totient is φ = 2631794688.

The previous prime is 10013231429. The next prime is 10013231443. The reversal of 10013231430 is 3413231001.

10013231430 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 231 + 430 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2241379 + ... + 2245841.

It is an arithmetic number, because the mean of its divisors is an integer number (275115204).

Almost surely, 210013231430 is an apocalyptic number.

10013231430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013231430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205529792).

10013231430 is an abundant number, since it is smaller than the sum of its proper divisors (16397828154).

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

10013231430 is a wasteful number, since it uses less digits than its factorization.

10013231430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10013231430 its reverse (3413231001), we get a palindrome (13426462431).

The spelling of 10013231430 in words is "ten billion, thirteen million, two hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 257 291 485 514 582 771 873 970 1285 1455 1542 1746 2313 2570 2910 3855 4365 4463 4626 7710 8730 8926 11565 13389 22315 23130 24929 26778 40167 44630 49858 66945 74787 80334 124645 133890 149574 200835 224361 249290 373935 401670 432911 448722 747870 865822 1121805 1146991 1298733 2164555 2243610 2293982 2597466 3440973 3896199 4329110 5734955 6493665 6881946 7792398 10322919 11469910 12987330 17204865 19480995 20645838 34409730 38961990 51614595 103229190 111258127 222516254 333774381 556290635 667548762 1001323143 1112581270 1668871905 2002646286 3337743810 5006615715 10013231430