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113120112996 = 223211983290597
BaseRepresentation
bin110100101011001111…
…0111111000101100100
3101210222112110010202200
41221112132333011210
53323132222103441
6123544444334500
711113136044542
oct1512636770544
9353875403680
10113120112996
1143a7939a1a0
1219b0b844430
13a889a47907
145691734d92
152e20eb57b6
hex1a567bf164

113120112996 has 72 divisors (see below), whose sum is σ = 312255687744. Its totient is φ = 34243832640.

The previous prime is 113120112953. The next prime is 113120113033. The reversal of 113120112996 is 699211021311.

113120112996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113120112996.

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, 243970 + ... + 534566.

It is an arithmetic number, because the mean of its divisors is an integer number (4336884552).

Almost surely, 2113120112996 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 113120112996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156127843872).

113120112996 is an abundant number, since it is smaller than the sum of its proper divisors (199135574748).

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

113120112996 is a wasteful number, since it uses less digits than its factorization.

113120112996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291601 (or 291596 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 113120112996 in words is "one hundred thirteen billion, one hundred twenty million, one hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 983 1966 2949 3932 5898 8847 10813 11796 17694 21626 32439 35388 43252 64878 97317 129756 194634 290597 389268 581194 871791 1162388 1743582 2615373 3196567 3487164 5230746 6393134 9589701 10461492 12786268 19179402 28769103 38358804 57538206 115076412 285656851 571313702 856970553 1142627404 1713941106 2570911659 3142225361 3427882212 5141823318 6284450722 9426676083 10283646636 12568901444 18853352166 28280028249 37706704332 56560056498 113120112996