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100022123302031 = 737338307975221
BaseRepresentation
bin10110101111100000110111…
…001000010000110010001111
3111010011000120202012201100102
4112233200313020100302033
5101102230302031131111
6552421310141521315
730032234313124130
oct2657406710206217
9433130522181312
10100022123302031
112996316503a467
12b274b5a87323b
1343a70796a9ac8
141a9b14d0cbc87
15b86c11b5713b
hex5af837210c8f

100022123302031 has 8 divisors (see below), whose sum is σ = 114617461864224. Its totient is φ = 85503400691040.

The previous prime is 100022123301983. The next prime is 100022123302051. The reversal of 100022123302031 is 130203321220001.

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 100022123302031 - 26 = 100022123301967 is a prime.

It is a super-2 number, since 2×1000221233020312 (a number of 29 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 = 100022123301994 and 100022123302012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022123302051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19153985000 + ... + 19153990221.

It is an arithmetic number, because the mean of its divisors is an integer number (14327182733028).

Almost surely, 2100022123302031 is an apocalyptic number.

100022123302031 is a deficient number, since it is larger than the sum of its proper divisors (14595338562193).

100022123302031 is an equidigital number, since it uses as much as digits as its factorization.

100022123302031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38307975601.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100022123302031 its reverse (130203321220001), we get a palindrome (230225444522032).

The spelling of 100022123302031 in words is "one hundred trillion, twenty-two billion, one hundred twenty-three million, three hundred two thousand, thirty-one".

Divisors: 1 7 373 2611 38307975221 268155826547 14288874757433 100022123302031