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103320033201 = 327111131319389
BaseRepresentation
bin110000000111001011…
…0101001011110110001
3100212200112212111121100
41200032112221132301
53143044412030301
6115244202515013
710315236535410
oct1401626513661
9325615774540
10103320033201
113a8aa5131a0
1218035805a69
1399875b7328
145001d73477
152a4a948286
hex180e5a97b1

103320033201 has 48 divisors (see below), whose sum is σ = 187712254080. Its totient is φ = 53197724160.

The previous prime is 103320033181. The next prime is 103320033239. The reversal of 103320033201 is 102330023301.

103320033201 is a `hidden beast` number, since 1 + 0 + 332 + 0 + 0 + 332 + 0 + 1 = 666.

It is not a de Polignac number, because 103320033201 - 210 = 103320032177 is a prime.

It is a super-3 number, since 3×1033200332013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103320033601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581386 + ... + 738003.

It is an arithmetic number, because the mean of its divisors is an integer number (3910671960).

Almost surely, 2103320033201 is an apocalyptic number.

103320033201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103320033201 is a deficient number, since it is larger than the sum of its proper divisors (84392220879).

103320033201 is a wasteful number, since it uses less digits than its factorization.

103320033201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319526 (or 1319523 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103320033201 its reverse (102330023301), we get a palindrome (205650056502).

The spelling of 103320033201 in words is "one hundred three billion, three hundred twenty million, thirty-three thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 113 231 339 693 791 1017 1243 2373 3729 7119 8701 11187 26103 78309 1319389 3958167 9235723 11874501 14513279 27707169 43539837 83121507 101592953 130619511 149090957 304778859 447272871 914336577 1043636699 1341818613 1640000527 3130910097 4920001581 9392730291 11480003689 14760004743 34440011067 103320033201