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113000032024 = 231113788710567
BaseRepresentation
bin110100100111101010…
…0111010011100011000
3101210200011111101122021
41221033110322130120
53322411002011044
6123524514504224
711110150265335
oct1511724723430
9353604441567
10113000032024
1143a17632620
1219a97595074
13a86abc2b99
14567d7d798c
152e15695e84
hex1a4f53a718

113000032024 has 64 divisors (see below), whose sum is σ = 233108098560. Its totient is φ = 50926429440.

The previous prime is 113000031973. The next prime is 113000032031. The reversal of 113000032024 is 420230000311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113000031989 and 113000032007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10688389 + ... + 10698955.

It is an arithmetic number, because the mean of its divisors is an integer number (3642314040).

Almost surely, 2113000032024 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 113000032024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116554049280).

113000032024 is an abundant number, since it is smaller than the sum of its proper divisors (120108066536).

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

113000032024 is a wasteful number, since it uses less digits than its factorization.

113000032024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 113000032024 its reverse (420230000311), we get a palindrome (533230032335).

The spelling of 113000032024 in words is "one hundred thirteen billion, thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 887 1096 1507 1774 3014 3548 6028 7096 9757 10567 12056 19514 21134 39028 42268 78056 84536 116237 121519 232474 243038 464948 486076 929896 972152 1336709 1447679 2673418 2895358 5346836 5790716 9372929 10693672 11581432 15924469 18745858 31848938 37491716 63697876 74983432 103102219 127395752 206204438 412408876 824817752 1284091273 2568182546 5136365092 10272730184 14125004003 28250008006 56500016012 113000032024