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113412221424 = 243229191142189
BaseRepresentation
bin110100110011111100…
…1010010100111110000
3101211201220002210012100
41221213321102213300
53324232012041144
6124033441300400
711123313655605
oct1514771224760
9354656083170
10113412221424
1144109273617
1219b91634700
13a905411738
1456bc4526ac
152e3b966269
hex1a67e529f0

113412221424 has 120 divisors (see below), whose sum is σ = 330062803200. Its totient is φ = 36309127680.

The previous prime is 113412221413. The next prime is 113412221437. The reversal of 113412221424 is 424122214311.

113412221424 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 12 + 221 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726522 + ... + 868710.

It is an arithmetic number, because the mean of its divisors is an integer number (2750523360).

Almost surely, 2113412221424 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 113412221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165031401600).

113412221424 is an abundant number, since it is smaller than the sum of its proper divisors (216650581776).

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

113412221424 is a wasteful number, since it uses less digits than its factorization.

113412221424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142423 (or 142414 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 113412221424 its reverse (424122214311), we get a palindrome (537534435735).

The spelling of 113412221424 in words is "one hundred thirteen billion, four hundred twelve million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 191 232 261 348 382 464 522 573 696 764 1044 1146 1392 1528 1719 2088 2292 3056 3438 4176 4584 5539 6876 9168 11078 13752 16617 22156 27504 33234 44312 49851 66468 88624 99702 132936 142189 199404 265872 284378 398808 426567 568756 797616 853134 1137512 1279701 1706268 2275024 2559402 3412536 4123481 5118804 6825072 8246962 10237608 12370443 16493924 20475216 24740886 27158099 32987848 37111329 49481772 54316198 65975696 74222658 81474297 98963544 108632396 148445316 162948594 197927088 217264792 244422891 296890632 325897188 434529584 488845782 593781264 651794376 787584871 977691564 1303588752 1575169742 1955383128 2362754613 3150339484 3910766256 4725509226 6300678968 7088263839 9451018452 12601357936 14176527678 18902036904 28353055356 37804073808 56706110712 113412221424