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101132233002 = 2325618457389
BaseRepresentation
bin101111000101111110…
…0110110100100101010
3100200001002010201221100
41132023330312210222
53124104322424002
6114243130422230
710210102540233
oct1361374664452
9320032121840
10101132233002
1139987566559
1217724b91976
1396c92678b8
144c7559008a
15296d83b11c
hex178bf3692a

101132233002 has 12 divisors (see below), whose sum is σ = 219119838210. Its totient is φ = 33710744328.

The previous prime is 101132232997. The next prime is 101132233067. The reversal of 101132233002 is 200332231101.

101132233002 is a `hidden beast` number, since 1 + 0 + 11 + 322 + 330 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97536911481 + 3595321521 = 312309^2 + 59961^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5618457389 = 101132233002 / (1 + 0 + 1 + 1 + 3 + 2 + 2 + 3 + 3 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2809228677 + ... + 2809228712.

Almost surely, 2101132233002 is an apocalyptic number.

101132233002 is an abundant number, since it is smaller than the sum of its proper divisors (117987605208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101132233002 is a wasteful number, since it uses less digits than its factorization.

101132233002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618457397 (or 5618457394 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101132233002 its reverse (200332231101), we get a palindrome (301464464103).

The spelling of 101132233002 in words is "one hundred one billion, one hundred thirty-two million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 5618457389 11236914778 16855372167 33710744334 50566116501 101132233002