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101131312323 = 3613234723431
BaseRepresentation
bin101111000101111100…
…1010101110011000011
3100200001000101222000010
41132023321111303003
53124104103443243
6114243055000003
710210061654106
oct1361371256303
9320030358003
10101131312323
1139986a97868
1217724809003
1396c9004812
144c753d073d
15296d708433
hex178be55cc3

101131312323 has 16 divisors (see below), whose sum is σ = 135125033216. Its totient is φ = 67279338720.

The previous prime is 101131312319. The next prime is 101131312327. The reversal of 101131312323 is 323213131101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101131312319) and next prime (101131312327).

It is not a de Polignac number, because 101131312323 - 22 = 101131312319 is a prime.

It is a super-3 number, since 3×1011313123233 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101131312323.

It is not an unprimeable number, because it can be changed into a prime (101131312327) 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, 4304418 + ... + 4327848.

It is an arithmetic number, because the mean of its divisors is an integer number (8445314576).

Almost surely, 2101131312323 is an apocalyptic number.

101131312323 is a deficient number, since it is larger than the sum of its proper divisors (33993720893).

101131312323 is a wasteful number, since it uses less digits than its factorization.

101131312323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26394.

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

Adding to 101131312323 its reverse (323213131101), we get a palindrome (424344443424).

The spelling of 101131312323 in words is "one hundred one billion, one hundred thirty-one million, three hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 613 1839 2347 7041 23431 70293 1438711 4316133 14363203 43089609 54992557 164977671 33710437441 101131312323