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100332332233 = 722047598617
BaseRepresentation
bin101110101110001000…
…1011110010011001001
3100120222022222120100221
41131130101132103021
53120440034112413
6114031514030041
710151220516100
oct1353421362311
9316868876327
10100332332233
1139606a93241
1217541118321
1395cc61ac33
144bdb24d037
1529234d368d
hex175c45e4c9

100332332233 has 6 divisors (see below), whose sum is σ = 116713121226. Its totient is φ = 85999141872.

The previous prime is 100332332227. The next prime is 100332332267. The reversal of 100332332233 is 332233233001.

It can be written as a sum of positive squares in only one way, i.e., 96688036809 + 3644295424 = 310947^2 + 60368^2 .

It is not a de Polignac number, because 100332332233 - 25 = 100332332201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100332332198 and 100332332207.

It is not an unprimeable number, because it can be changed into a prime (100332332333) 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 5 ways as a sum of consecutive naturals, for example, 1023799260 + ... + 1023799357.

It is an arithmetic number, because the mean of its divisors is an integer number (19452186871).

Almost surely, 2100332332233 is an apocalyptic number.

It is an amenable number.

100332332233 is a deficient number, since it is larger than the sum of its proper divisors (16380788993).

100332332233 is an equidigital number, since it uses as much as digits as its factorization.

100332332233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047598631 (or 2047598624 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 100332332233 its reverse (332233233001), we get a palindrome (432565565234).

The spelling of 100332332233 in words is "one hundred billion, three hundred thirty-two million, three hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 7 49 2047598617 14333190319 100332332233