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102330220033 = 2940977311161
BaseRepresentation
bin101111101001101011…
…0110011111000000001
3100210010120100210012101
41133103112303320001
53134033014020113
6115002043430401
710251560342626
oct1372326637001
9323116323171
10102330220033
113a441817988
12179ba225401
13985a505a72
144d4a71834d
1529ddaca2dd
hex17d35b3e01

102330220033 has 16 divisors (see below), whose sum is σ = 106264472400. Its totient is φ = 98423700480.

The previous prime is 102330220021. The next prime is 102330220129. The reversal of 102330220033 is 330022033201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10632084544 + 91698135489 = 103112^2 + 302817^2 .

It is a cyclic number.

It is not a de Polignac number, because 102330220033 - 217 = 102330088961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102330230033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9162973 + ... + 9174133.

It is an arithmetic number, because the mean of its divisors is an integer number (6641529525).

Almost surely, 2102330220033 is an apocalyptic number.

It is an amenable number.

102330220033 is a deficient number, since it is larger than the sum of its proper divisors (3934252367).

102330220033 is a wasteful number, since it uses less digits than its factorization.

102330220033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12372.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 102330220033 its reverse (330022033201), we get a palindrome (432352253234).

The spelling of 102330220033 in words is "one hundred two billion, three hundred thirty million, two hundred twenty thousand, thirty-three".

Divisors: 1 29 409 773 11161 11861 22417 316157 323669 4564849 8627453 9168553 132380621 250196137 3528628277 102330220033