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101132213331 = 3371475361757
BaseRepresentation
bin101111000101111110…
…0110001110001010011
3100200001002002201221210
41132023330301301103
53124104321311311
6114243130151203
710210102426002
oct1361374616123
9320032081853
10101132213331
11399875527a6
1217724b82503
1396c925b966
144c75586c39
15296d8353a6
hex178bf31c53

101132213331 has 16 divisors (see below), whose sum is σ = 138498984864. Its totient is φ = 65593764864.

The previous prime is 101132213297. The next prime is 101132213389. The reversal of 101132213331 is 133312231101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-101132213331 is a prime.

It is a super-2 number, since 2×1011322133312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101132213298 and 101132213307.

It is not an unprimeable number, because it can be changed into a prime (101132213131) 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, 1606705 + ... + 1668461.

It is an arithmetic number, because the mean of its divisors is an integer number (8656186554).

Almost surely, 2101132213331 is an apocalyptic number.

101132213331 is a deficient number, since it is larger than the sum of its proper divisors (37366771533).

101132213331 is a wasteful number, since it uses less digits than its factorization.

101132213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76550.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101132213331 its reverse (133312231101), we get a palindrome (234444444432).

The spelling of 101132213331 in words is "one hundred one billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 37 111 14753 44259 61757 185271 545861 1637583 2285009 6855027 911101021 2733303063 33710737777 101132213331