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100122210031 = 1572459325931
BaseRepresentation
bin101110100111110111…
…1111010111011101111
3100120102200121020220011
41131033233322323233
53120022241210111
6113555010234051
710143056512654
oct1351757727357
9316380536804
10100122210031
1139509417328
12174a2885927
139597c2b57c
144bbb393c2b
15290ed2a021
hex174fbfaeef

100122210031 has 8 divisors (see below), whose sum is σ = 100767914064. Its totient is φ = 99476607360.

The previous prime is 100122209983. The next prime is 100122210053. The reversal of 100122210031 is 130012221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100122210031 is a prime.

It is a super-2 number, since 2×1001222100312 (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 = 100122209993 and 100122210020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122210131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3848136 + ... + 3874066.

It is an arithmetic number, because the mean of its divisors is an integer number (12595989258).

Almost surely, 2100122210031 is an apocalyptic number.

100122210031 is a deficient number, since it is larger than the sum of its proper divisors (645704033).

100122210031 is a wasteful number, since it uses less digits than its factorization.

100122210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50681.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100122210031 its reverse (130012221001), we get a palindrome (230134431032).

The spelling of 100122210031 in words is "one hundred billion, one hundred twenty-two million, two hundred ten thousand, thirty-one".

Divisors: 1 157 24593 25931 3861101 4071167 637721083 100122210031