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101342410031 = 3111349315867
BaseRepresentation
bin101111001100001111…
…0100111010100101111
3100200120201121211121202
41132120132213110233
53130022124110111
6114320035320115
710215234162242
oct1363036472457
9320521554552
10101342410031
1139a8516a685
121778345003b
1397309761c5
144c95461259
152982005b3b
hex17987a752f

101342410031 has 16 divisors (see below), whose sum is σ = 105576680448. Its totient is φ = 97169116800.

The previous prime is 101342410021. The next prime is 101342410049. The reversal of 101342410031 is 130014243101.

It is a cyclic number.

It is not a de Polignac number, because 101342410031 - 218 = 101342147887 is a prime.

It is a super-2 number, since 2×1013424100312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101342409985 and 101342410012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342410021) 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, 17270360 + ... + 17276226.

It is an arithmetic number, because the mean of its divisors is an integer number (6598542528).

Almost surely, 2101342410031 is an apocalyptic number.

101342410031 is a deficient number, since it is larger than the sum of its proper divisors (4234270417).

101342410031 is a wasteful number, since it uses less digits than its factorization.

101342410031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101342410031 its reverse (130014243101), we get a palindrome (231356653132).

The spelling of 101342410031 in words is "one hundred one billion, three hundred forty-two million, four hundred ten thousand, thirty-one".

Divisors: 1 31 113 3503 4931 5867 152861 181877 557203 662971 17273293 20552101 28930177 896835487 3269110001 101342410031