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101022222313 is a prime number
BaseRepresentation
bin101111000010101100…
…1001100011111101001
3100122202102010121122101
41132011121030133221
53123343142103223
6114224200453401
710204265502325
oct1360531143751
9318672117571
10101022222313
1139930457931
12176b417a261
1396ac52a70c
144c64b14985
152963d5a4ad
hex178564c7e9

101022222313 has 2 divisors, whose sum is σ = 101022222314. Its totient is φ = 101022222312.

The previous prime is 101022222277. The next prime is 101022222319. The reversal of 101022222313 is 313222220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53841169369 + 47181052944 = 232037^2 + 217212^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022222313 - 217 = 101022091241 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022222319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511111156 + 50511111157.

It is an arithmetic number, because the mean of its divisors is an integer number (50511111157).

Almost surely, 2101022222313 is an apocalyptic number.

It is an amenable number.

101022222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022222313 is an equidigital number, since it uses as much as digits as its factorization.

101022222313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 101022222313 its reverse (313222220101), we get a palindrome (414244442414).

The spelling of 101022222313 in words is "one hundred one billion, twenty-two million, two hundred twenty-two thousand, three hundred thirteen".