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101132332301 = 72111314433043
BaseRepresentation
bin101111000101111110…
…1001110110100001101
3100200001002022210011002
41132023331032310031
53124104334113201
6114243132510045
710210103432600
oct1361375166415
9320032283132
10101132332301
1139987624120
121772501b325
1396c92a0b60
144c755b8337
15296d85a76b
hex178bf4ed0d

101132332301 has 24 divisors (see below), whose sum is σ = 138210829344. Its totient is φ = 72742531680.

The previous prime is 101132332267. The next prime is 101132332351. The reversal of 101132332301 is 103233231101.

It is not a de Polignac number, because 101132332301 - 222 = 101128137997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132332351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7209515 + ... + 7223528.

It is an arithmetic number, because the mean of its divisors is an integer number (5758784556).

Almost surely, 2101132332301 is an apocalyptic number.

101132332301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101132332301 is a deficient number, since it is larger than the sum of its proper divisors (37078497043).

101132332301 is a wasteful number, since it uses less digits than its factorization.

101132332301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14433081 (or 14433074 counting only the distinct ones).

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

Adding to 101132332301 its reverse (103233231101), we get a palindrome (204365563402).

It can be divided in two parts, 10 and 1132332301, that added together give a palindrome (1132332311).

The spelling of 101132332301 in words is "one hundred one billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 14433043 101031301 158763473 187629559 707219107 1111344311 1313406913 2063925149 7779410177 9193848391 14447476043 101132332301