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113001300111132 = 22328873538810601
BaseRepresentation
bin11001101100011000101010…
…010110100010111100011100
3112211002211002220012112202100
4121230120222112202330130
5104302403130312024012
61040200025225125100
732542034362526256
oct3154305226427434
9484084086175670
10113001300111132
1133007644a7a684
12108104aa929790
134b08c91277a94
141dc9413786cd6
15d0e6531698dc
hex66c62a5a2f1c

113001300111132 has 36 divisors (see below), whose sum is σ = 285964207126416. Its totient is φ = 37624634299200.

The previous prime is 113001300111097. The next prime is 113001300111143. The reversal of 113001300111132 is 231111003100311.

113001300111132 is a `hidden beast` number, since 11 + 300 + 1 + 300 + 11 + 11 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1130013001111322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1769373369 + ... + 1769437232.

It is an arithmetic number, because the mean of its divisors is an integer number (7943450197956).

Almost surely, 2113001300111132 is an apocalyptic number.

113001300111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113001300111132 is an abundant number, since it is smaller than the sum of its proper divisors (172962907015284).

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

113001300111132 is a wasteful number, since it uses less digits than its factorization.

113001300111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538811498 (or 3538811493 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113001300111132 its reverse (231111003100311), we get a palindrome (344112303211443).

The spelling of 113001300111132 in words is "one hundred thirteen trillion, one billion, three hundred million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 887 1774 2661 3548 5322 7983 10644 15966 31932 3538810601 7077621202 10616431803 14155242404 21232863606 31849295409 42465727212 63698590818 127397181636 3138925003087 6277850006174 9416775009261 12555700012348 18833550018522 28250325027783 37667100037044 56500650055566 113001300111132