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101052126031 = 1923317459373
BaseRepresentation
bin101111000011100101…
…1010001001101001111
3100122211111101212211111
41132013023101031033
53123423321013111
6114231145432451
710205110620223
oct1360713211517
9318744355744
10101052126031
1139946321a4a
121770219b727
1396b579a91c
144c68a9a783
1529667b5a21
hex17872d134f

101052126031 has 16 divisors (see below), whose sum is σ = 114575984640. Its totient is φ = 88617339360.

The previous prime is 101052126013. The next prime is 101052126061. The reversal of 101052126031 is 130621250101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101052126031 - 213 = 101052117839 is a prime.

It is a super-2 number, since 2×1010521260312 (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 = 101052125993 and 101052126011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101052126061) 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, 3716140 + ... + 3743233.

It is an arithmetic number, because the mean of its divisors is an integer number (7160999040).

Almost surely, 2101052126031 is an apocalyptic number.

101052126031 is a deficient number, since it is larger than the sum of its proper divisors (13523858609).

101052126031 is a wasteful number, since it uses less digits than its factorization.

101052126031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459446.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 101052126031 its reverse (130621250101), we get a palindrome (231673376132).

The spelling of 101052126031 in words is "one hundred one billion, fifty-two million, one hundred twenty-six thousand, thirty-one".

Divisors: 1 19 23 31 437 589 713 13547 7459373 141728087 171565579 231240563 3259746001 4393570697 5318532949 101052126031