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100022202232131 = 3234433272228293
BaseRepresentation
bin10110101111100000111011…
…110101010110110101000011
3111010011000210020201210002110
4112233200323311112311003
5101102230432232412011
6552421322041350403
730032236262043054
oct2657407365266503
9433130706653073
10100022202232131
11299631a564a853
12b274b81198403
1343a708cb541ca
141a9b15979672b
15b86c18a48ba6
hex5af83bd56d43

100022202232131 has 16 divisors (see below), whose sum is σ = 139475458803456. Its totient is φ = 63638295822816.

The previous prime is 100022202232037. The next prime is 100022202232133. The reversal of 100022202232131 is 131232202220001.

It is not a de Polignac number, because 100022202232131 - 245 = 64837830143299 is a prime.

It is a super-2 number, since 2×1000222022321312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022202232098 and 100022202232107.

It is not an unprimeable number, because it can be changed into a prime (100022202232133) 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, 1636083580 + ... + 1636144713.

It is an arithmetic number, because the mean of its divisors is an integer number (8717216175216).

Almost surely, 2100022202232131 is an apocalyptic number.

100022202232131 is a deficient number, since it is larger than the sum of its proper divisors (39453256571325).

100022202232131 is a wasteful number, since it uses less digits than its factorization.

100022202232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272228762.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100022202232131 its reverse (131232202220001), we get a palindrome (231254404452132).

The spelling of 100022202232131 in words is "one hundred trillion, twenty-two billion, two hundred two million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 23 69 443 1329 10189 30567 3272228293 9816684879 75261250739 225783752217 1449597133799 4348791401397 33340734077377 100022202232131