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113332301121032 = 23717491652137181
BaseRepresentation
bin11001110001001100111011…
…100011001100011000001000
3112212021110110221000001022022
4121301030323203030120020
5104323314023041333112
61041012050153344012
732604663033635660
oct3161147343143010
9485243427001268
10113332301121032
1133124a60463514
1210864686408008
134b31261970516
141ddb453c651a0
15d18077282d72
hex67133b8cc608

113332301121032 has 128 divisors (see below), whose sum is σ = 257710666970880. Its totient is φ = 45612542976000.

The previous prime is 113332301121031. The next prime is 113332301121043. The reversal of 113332301121032 is 230121103233311.

113332301121032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1133323011210322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113332301120992 and 113332301121010.

It is not an unprimeable number, because it can be changed into a prime (113332301121031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3048105482 + ... + 3048142662.

It is an arithmetic number, because the mean of its divisors is an integer number (2013364585710).

Almost surely, 2113332301121032 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 113332301121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128855333485440).

113332301121032 is an abundant number, since it is smaller than the sum of its proper divisors (144378365849848).

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

113332301121032 is a wasteful number, since it uses less digits than its factorization.

113332301121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44223 (or 44219 counting only the distinct ones).

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

Adding to 113332301121032 its reverse (230121103233311), we get a palindrome (343453404354343).

The spelling of 113332301121032 in words is "one hundred thirteen trillion, three hundred thirty-two billion, three hundred one million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 491 952 982 1964 3437 3928 6521 6874 8347 13042 13748 16694 26084 27496 33388 37181 45647 52168 58429 66776 74362 91294 110857 116858 148724 182588 221714 233716 260267 297448 365176 443428 467432 520534 632077 775999 886856 1041068 1264154 1551998 2082136 2528308 3103996 3201811 4424539 5056616 6207992 6403622 8849078 12807244 17698156 18255871 22412677 25614488 35396312 36511742 44825354 54430787 73023484 89650708 108861574 127791097 146046968 179301416 217723148 242457301 255582194 310349807 381015509 435446296 484914602 511164388 620699614 762031018 969829204 1022328776 1241399228 1524062036 1697201107 1939658408 2172448649 2482798456 3048124072 3394402214 4121774117 4344897298 6788804428 8243548234 8689794596 13577608856 16487096468 17379589192 28852418819 32974192936 57704837638 115409675276 119046534791 230819350552 238093069582 476186139164 833325743537 952372278328 1666651487074 2023791091447 3333302974148 4047582182894 6666605948296 8095164365788 14166537640129 16190328731576 28333075280258 56666150560516 113332301121032