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122220011000137 is a prime number
BaseRepresentation
bin11011110010100010010000…
…010101110001000101001001
3121000202010012201010201000011
4123302202100111301011021
5112004423040304001022
61111535033053111521
734513050544266421
oct3362422025610511
9530663181121004
10122220011000137
1135a41240a38836
121185b0824885a1
1353273b3a3999b
1422276a154b481
15e1e352797977
hex6f2890571149

122220011000137 has 2 divisors, whose sum is σ = 122220011000138. Its totient is φ = 122220011000136.

The previous prime is 122220011000111. The next prime is 122220011000177. The reversal of 122220011000137 is 731000110022221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76464811181056 + 45755199819081 = 8744416^2 + 6764259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122220011000137 is a prime.

It is not a weakly prime, because it can be changed into another prime (122220011000177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110005500068 + 61110005500069.

It is an arithmetic number, because the mean of its divisors is an integer number (61110005500069).

Almost surely, 2122220011000137 is an apocalyptic number.

It is an amenable number.

122220011000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220011000137 is an equidigital number, since it uses as much as digits as its factorization.

122220011000137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 122220011000137 its reverse (731000110022221), we get a palindrome (853220121022358).

The spelling of 122220011000137 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, one hundred thirty-seven", and thus it is an aban number.