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113130112332032 = 281997499480521
BaseRepresentation
bin11001101110010000101000…
…001010001011000100000000
3112211120010121001010100202122
4121232100220022023010000
5104312010432224111112
61040335131154103412
732554244434404635
oct3156205012130400
9484503531110678
10113130112332032
113305723612a794
121083145987ab68
134b1817c046833
141dd17531c418c
15d12b91aa8872
hex66e42828b100

113130112332032 has 144 divisors (see below), whose sum is σ = 240635807160000. Its totient is φ = 52929101168640.

The previous prime is 113130112331993. The next prime is 113130112332059. The reversal of 113130112332032 is 230233211031311.

It is a junction number, because it is equal to n+sod(n) for n = 113130112331992 and 113130112332010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235191932 + ... + 235672452.

Almost surely, 2113130112332032 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 113130112332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120317903580000).

113130112332032 is an abundant number, since it is smaller than the sum of its proper divisors (127505694827968).

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

113130112332032 is an equidigital number, since it uses as much as digits as its factorization.

113130112332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481152 (or 481138 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 113130112332032 its reverse (230233211031311), we get a palindrome (343363323363343).

The spelling of 113130112332032 in words is "one hundred thirteen trillion, one hundred thirty billion, one hundred twelve million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 256 304 388 499 608 776 998 1216 1552 1843 1996 2432 3104 3686 3992 4864 6208 7372 7984 9481 12416 14744 15968 18962 24832 29488 31936 37924 48403 58976 63872 75848 96806 117952 127744 151696 193612 235904 303392 387224 471808 480521 606784 774448 919657 961042 1213568 1548896 1839314 1922084 2427136 3097792 3678628 3844168 6195584 7357256 7688336 9129899 12391168 14714512 15376672 18259798 29429024 30753344 36519596 46610537 58858048 61506688 73039192 93221074 117716096 123013376 146078384 186442148 235432192 239779979 292156768 372884296 479559958 584313536 745768592 885600203 959119916 1168627072 1491537184 1771200406 1918239832 2337254144 2983074368 3542400812 3836479664 4555819601 5966148736 7084801624 7672959328 9111639202 11932297472 14169603248 15345918656 18223278404 23258657963 28339206496 30691837312 36446556808 46517315926 56678412992 61383674624 72893113616 93034631852 113356825984 145786227232 186069263704 226713651968 291572454464 372138527408 441914501297 583144908928 744277054816 883829002594 1166289817856 1488554109632 1767658005188 2977108219264 3535316010376 5954216438528 7070632020752 14141264041504 28282528083008 56565056166016 113130112332032