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100122101221031 = 1723833085141627
BaseRepresentation
bin10110110000111101111110…
…010001110000011010100111
3111010111120122101022020011022
4112300331332101300122213
5101110400030403033111
6552535242555401355
730042404001325421
oct2660757621603247
9433446571266138
10100122101221031
11299a15a9a637aa
12b29040115325b
1343b3620757b66
141aa1d15241811
15b89613e7e2db
hex5b0f7e4706a7

100122101221031 has 16 divisors (see below), whose sum is σ = 111953619396864. Its totient is φ = 89049527892864.

The previous prime is 100122101220979. The next prime is 100122101221033. The reversal of 100122101221031 is 130122101221001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100122101221031 - 246 = 29753357043367 is a prime.

It is a super-2 number, since 2×1001221012210312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122101221033) 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, 1542538361 + ... + 1542603266.

It is an arithmetic number, because the mean of its divisors is an integer number (6997101212304).

Almost surely, 2100122101221031 is an apocalyptic number.

100122101221031 is a deficient number, since it is larger than the sum of its proper divisors (11831518175833).

100122101221031 is a wasteful number, since it uses less digits than its factorization.

100122101221031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085141750.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100122101221031 its reverse (130122101221001), we get a palindrome (230244202442032).

The spelling of 100122101221031 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 17 23 83 391 1411 1909 32453 3085141627 52447407659 70958257421 256066755041 1206290376157 4353134835697 5889535365943 100122101221031