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101332411131 = 3728317050717
BaseRepresentation
bin101111001011111100…
…0011110001011111011
3100200120000210211201010
41132113320132023323
53130012044124011
6114315041125003
710215053166030
oct1362770361373
9320500724633
10101332411131
1139a7a560326
1217780029763
13972b884cb3
144c93dbb387
1529811cd1a6
hex1797e1e2fb

101332411131 has 16 divisors (see below), whose sum is σ = 154956925184. Its totient is φ = 57699622944.

The previous prime is 101332411129. The next prime is 101332411177. The reversal of 101332411131 is 131114233101.

It is not a de Polignac number, because 101332411131 - 21 = 101332411129 is a prime.

It is a super-2 number, since 2×1013324111312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101332411098 and 101332411107.

It is not an unprimeable number, because it can be changed into a prime (101332411111) 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, 8519416 + ... + 8531301.

It is an arithmetic number, because the mean of its divisors is an integer number (9684807824).

Almost surely, 2101332411131 is an apocalyptic number.

101332411131 is a deficient number, since it is larger than the sum of its proper divisors (53624514053).

101332411131 is a wasteful number, since it uses less digits than its factorization.

101332411131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17051010.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101332411131 its reverse (131114233101), we get a palindrome (232446644232).

The spelling of 101332411131 in words is "one hundred one billion, three hundred thirty-two million, four hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 21 283 849 1981 5943 17050717 51152151 119355019 358065057 4825352911 14476058733 33777470377 101332411131