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100113220001 is a prime number
BaseRepresentation
bin101110100111100110…
…1101000000110100001
3100120102001200111220002
41131033031220012201
53120012441020001
6113554045425345
710142620220654
oct1351715500641
9316361614802
10100113220001
1139504336a53
121749b86b255
139596101622
144bba0d389b
15290e15146b
hex174f3681a1

100113220001 has 2 divisors, whose sum is σ = 100113220002. Its totient is φ = 100113220000.

The previous prime is 100113219989. The next prime is 100113220003. The reversal of 100113220001 is 100022311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96830502976 + 3282717025 = 311176^2 + 57295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100113220001 is a prime.

Together with 100113220003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100113220003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056610000 + 50056610001.

It is an arithmetic number, because the mean of its divisors is an integer number (50056610001).

Almost surely, 2100113220001 is an apocalyptic number.

It is an amenable number.

100113220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113220001 is an equidigital number, since it uses as much as digits as its factorization.

100113220001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100113220001 its reverse (100022311001), we get a palindrome (200135531002).

The spelling of 100113220001 in words is "one hundred billion, one hundred thirteen million, two hundred twenty thousand, one".