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101132143993 = 3729322874079
BaseRepresentation
bin101111000101111110…
…0100000110101111001
3100200001001222012211201
41132023330200311321
53124104312101433
6114243124454201
710210102016566
oct1361374406571
9320031865751
10101132143993
11399875056a1
1217724b4a361
1396c923622a
144c7556986d
15296d81ea7d
hex178bf20d79

101132143993 has 16 divisors (see below), whose sum is σ = 104291066880. Its totient is φ = 97996101696.

The previous prime is 101132143967. The next prime is 101132144017. The reversal of 101132143993 is 399341231101.

It is a cyclic number.

It is not a de Polignac number, because 101132143993 - 213 = 101132135801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101132143933) 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, 24791328 + ... + 24795406.

It is an arithmetic number, because the mean of its divisors is an integer number (6518191680).

Almost surely, 2101132143993 is an apocalyptic number.

It is an amenable number.

101132143993 is a deficient number, since it is larger than the sum of its proper divisors (3158922887).

101132143993 is a wasteful number, since it uses less digits than its factorization.

101132143993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696.

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 101132143993 in words is "one hundred one billion, one hundred thirty-two million, one hundred forty-three thousand, nine hundred ninety-three".

Divisors: 1 37 293 2287 4079 10841 84619 150923 670091 1195147 9328673 24793367 44220439 345160901 2733301189 101132143993