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113430114424 = 231117294635647
BaseRepresentation
bin110100110100011110…
…1100011000001111000
3101211210010202211210001
41221220331203001320
53324301102130144
6124035321002344
711123622031024
oct1515075430170
9354703684701
10113430114424
1144118384920
1219b976233b4
13a909037b03
1456c098d384
152e3d2ecbd4
hex1a68f63078

113430114424 has 128 divisors (see below), whose sum is σ = 254729318400. Its totient is φ = 46743459840.

The previous prime is 113430114409. The next prime is 113430114463. The reversal of 113430114424 is 424411034311.

It is a junction number, because it is equal to n+sod(n) for n = 113430114392 and 113430114401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20083969 + ... + 20089615.

It is an arithmetic number, because the mean of its divisors is an integer number (1990072800).

Almost surely, 2113430114424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113430114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127364659200).

113430114424 is an abundant number, since it is smaller than the sum of its proper divisors (141299203976).

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

113430114424 is a wasteful number, since it uses less digits than its factorization.

113430114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 113430114424 its reverse (424411034311), we get a palindrome (537841148735).

The spelling of 113430114424 in words is "one hundred thirteen billion, four hundred thirty million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 463 493 638 748 926 986 1276 1496 1852 1972 2552 3704 3944 5093 5423 5647 7871 10186 10846 11294 13427 15742 20372 21692 22588 26854 31484 40744 43384 45176 53708 62117 62968 86581 95999 107416 124234 147697 163763 173162 191998 228259 248468 295394 327526 346324 383996 456518 496936 590788 655052 692648 767992 913036 1055989 1181576 1310104 1801393 1826072 2111978 2510849 2614561 2783971 3602786 4223956 5021698 5229122 5567942 7205572 8447912 10043396 10458244 11135884 14411144 20086792 20916488 22271768 28760171 30623681 44447537 57520342 61247362 75822269 88895074 115040684 122494724 151644538 177790148 230081368 244989448 303289076 355580296 488922907 606578152 834044959 977845814 1288978573 1668089918 1955691628 2577957146 3336179836 3911383256 5155914292 6672359672 10311828584 14178764303 28357528606 56715057212 113430114424