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102331133201 = 1171091308599
BaseRepresentation
bin101111101001101101…
…0010010110100010001
3100210010122002011211102
41133103122102310101
53134033232230301
6115002115154145
710251601165133
oct1372332226421
9323118064742
10102331133201
113a442290a70
12179ba5a5955
13985a7655bb
144d4a8b5053
1529ddc0ab6b
hex17d3692d11

102331133201 has 8 divisors (see below), whose sum is σ = 111649752000. Its totient is φ = 93015145840.

The previous prime is 102331133159. The next prime is 102331133231.

102331133201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102331133201 - 230 = 101257391377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102331133231) 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 7 ways as a sum of consecutive naturals, for example, 576101 + ... + 732498.

It is an arithmetic number, because the mean of its divisors is an integer number (13956219000).

Almost surely, 2102331133201 is an apocalyptic number.

102331133201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102331133201 is a deficient number, since it is larger than the sum of its proper divisors (9318618799).

102331133201 is a wasteful number, since it uses less digits than its factorization.

102331133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315719.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 102331 and 133201, that added together give a palindrome (235532).

The spelling of 102331133201 in words is "one hundred two billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 11 7109 78199 1308599 14394589 9302830291 102331133201