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31122100249 is a prime number
BaseRepresentation
bin11100111111000001…
…011001000000011001
32222022221201111112121
4130333001121000121
51002214224201444
622144114341241
72151143326102
oct347701310031
988287644477
1031122100249
1112220683609
12604688a821
132c1c9b3146
14171349b3a9
15c223c8084
hex73f059019

31122100249 has 2 divisors, whose sum is σ = 31122100250. Its totient is φ = 31122100248.

The previous prime is 31122100241. The next prime is 31122100333. The reversal of 31122100249 is 94200122113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25779513600 + 5342586649 = 160560^2 + 73093^2 .

It is an emirp because it is prime and its reverse (94200122113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31122100249 - 23 = 31122100241 is a prime.

It is not a weakly prime, because it can be changed into another prime (31122100241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561050124 + 15561050125.

It is an arithmetic number, because the mean of its divisors is an integer number (15561050125).

Almost surely, 231122100249 is an apocalyptic number.

It is an amenable number.

31122100249 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122100249 is an equidigital number, since it uses as much as digits as its factorization.

31122100249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 31122100249 in words is "thirty-one billion, one hundred twenty-two million, one hundred thousand, two hundred forty-nine".