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100122222031 = 1312760643381
BaseRepresentation
bin101110100111110111…
…1111101110111001111
3100120102200121212100121
41131033233331313033
53120022242101111
6113555010405411
710143056562646
oct1351757756717
9316380555317
10100122222031
1139509425347
12174a2890867
139597c33b80
144bbb39835d
15290ed2d871
hex174fbfddcf

100122222031 has 8 divisors (see below), whose sum is σ = 108672940544. Its totient is φ = 91692790560.

The previous prime is 100122221987. The next prime is 100122222059. The reversal of 100122222031 is 130222221001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100122222031 - 223 = 100113833423 is a prime.

It is a super-3 number, since 3×1001222220313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122221996 and 100122222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122222071) 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, 30320040 + ... + 30323341.

It is an arithmetic number, because the mean of its divisors is an integer number (13584117568).

Almost surely, 2100122222031 is an apocalyptic number.

100122222031 is a deficient number, since it is larger than the sum of its proper divisors (8550718513).

100122222031 is a wasteful number, since it uses less digits than its factorization.

100122222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60643521.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100122222031 its reverse (130222221001), we get a palindrome (230344443032).

The spelling of 100122222031 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 13 127 1651 60643381 788363953 7701709387 100122222031