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33120200113 = 71113191741427
BaseRepresentation
bin11110110110000111…
…100010010110110001
310011111012111111021021
4132312013202112301
51020312232400423
623114252455441
72251515025120
oct366607422661
9104435444237
1033120200113
1113056542610
126503a7a581
13317a943660
1418629bdab7
15cdca1295d
hex7b61e25b1

33120200113 has 32 divisors (see below), whose sum is σ = 46809584640. Its totient is φ = 22568880960.

The previous prime is 33120200107. The next prime is 33120200137. The reversal of 33120200113 is 31100202133.

It is a de Polignac number, because none of the positive numbers 2k-33120200113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33120200413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851695 + ... + 889732.

It is an arithmetic number, because the mean of its divisors is an integer number (1462799520).

Almost surely, 233120200113 is an apocalyptic number.

It is an amenable number.

33120200113 is a deficient number, since it is larger than the sum of its proper divisors (13689384527).

33120200113 is a wasteful number, since it uses less digits than its factorization.

33120200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741477.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 33120200113 its reverse (31100202133), we get a palindrome (64220402246).

The spelling of 33120200113 in words is "thirty-three billion, one hundred twenty million, two hundred thousand, one hundred thirteen".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 1741427 12189989 19155697 22638551 33087113 134089879 158469857 231609791 249024061 363958243 430132469 1743168427 2547707701 3010927283 4731457159 33120200113