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113312301123231 = 33716728312685639
BaseRepresentation
bin11001110000111010010011…
…011101010000011010011111
3112212012112212002110220002000
4121300322103131100122133
5104323002043041420411
61040554541424133343
732603354311521330
oct3160722335203237
9485175762426060
10113312301123231
1133117527a36111
1210860824467253
134b2c3c52968b2
141dda4b7980287
15d177a6517956
hex670e9375069f

113312301123231 has 64 divisors (see below), whose sum is σ = 193682321817600. Its totient is φ = 64134729294048.

The previous prime is 113312301123169. The next prime is 113312301123289. The reversal of 113312301123231 is 132321103213311.

113312301123231 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 2 + 301 + 123 + 231 = 666.

It is not a de Polignac number, because 113312301123231 - 226 = 113312234014367 is a prime.

It is a super-2 number, since 2×1133123011232312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113312301123195 and 113312301123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312301122231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2589510 + ... + 15275148.

It is an arithmetic number, because the mean of its divisors is an integer number (3026286278400).

Almost surely, 2113312301123231 is an apocalyptic number.

113312301123231 is a deficient number, since it is larger than the sum of its proper divisors (80370020694369).

113312301123231 is a wasteful number, since it uses less digits than its factorization.

113312301123231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686105 (or 12686099 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113312301123231 its reverse (132321103213311), we get a palindrome (245633404336542).

The spelling of 113312301123231 in words is "one hundred thirteen trillion, three hundred twelve billion, three hundred one million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 167 189 283 501 849 1169 1503 1981 2547 3507 4509 5943 7641 10521 17829 31563 47261 53487 141783 330827 425349 992481 1276047 2977443 8932329 12685639 38056917 88799473 114170751 266398419 342512253 799195257 2118501713 2397585771 3590035837 6355505139 10770107511 14829511991 19066515417 25130250859 32310322533 44488535973 57199546251 75390752577 96930967599 133465607919 226172257731 400396823757 599535984779 678516773193 1798607954337 4196751893453 5395823863011 12590255680359 16187471589033 37770767041077 113312301123231