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113003311321332 = 22332707386526397
BaseRepresentation
bin11001101100011010100010…
…001110101101000011110100
3112211010000022001122121111000
4121230122202032231003310
5104302421240144240312
61040201000552243300
732542135253530665
oct3154324216550364
9484100261577430
10113003311321332
1133008487283673
12108109703a0530
134b09221b487a3
141dc956491d36c
15d0e71e9e3adc
hex66c6a23ad0f4

113003311321332 has 48 divisors (see below), whose sum is σ = 293079776019520. Its totient is φ = 37653855392736.

The previous prime is 113003311321321. The next prime is 113003311321339. The reversal of 113003311321332 is 233123113300311.

113003311321332 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 3 + 3 + 1 + 1 + 321 + 332 = 666.

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 = 113003311321296 and 113003311321305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113003311321339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192970843 + ... + 193555554.

Almost surely, 2113003311321332 is an apocalyptic number.

113003311321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113003311321332 is an abundant number, since it is smaller than the sum of its proper divisors (180076464698188).

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

113003311321332 is a wasteful number, since it uses less digits than its factorization.

113003311321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386529117 (or 386529109 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 113003311321332 its reverse (233123113300311), we get a palindrome (346126424621643).

The spelling of 113003311321332 in words is "one hundred thirteen trillion, three billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2707 5414 8121 10828 16242 24363 32484 48726 73089 97452 146178 292356 386526397 773052794 1159579191 1546105588 2319158382 3478737573 4638316764 6957475146 10436212719 13914950292 20872425438 41744850876 1046326956679 2092653913358 3138980870037 4185307826716 6277961740074 9416942610111 12555923480148 18833885220222 28250827830333 37667770440444 56501655660666 113003311321332