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1313223101 is a prime number
BaseRepresentation
bin100111001000110…
…0011000110111101
310101112001122102122
41032101203012331
510142141114401
6334150532325
744354132531
oct11621430675
93345048378
101313223101
11614309a53
123079670a5
1317c0b78b8
14c65a3bc1
157a45321b
hex4e4631bd

1313223101 has 2 divisors, whose sum is σ = 1313223102. Its totient is φ = 1313223100.

The previous prime is 1313223049. The next prime is 1313223221. The reversal of 1313223101 is 1013223131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1204020601 + 109202500 = 34699^2 + 10450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313223101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313223101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313222101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656611550 + 656611551.

It is an arithmetic number, because the mean of its divisors is an integer number (656611551).

Almost surely, 21313223101 is an apocalyptic number.

It is an amenable number.

1313223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313223101 is an equidigital number, since it uses as much as digits as its factorization.

1313223101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1313223101 is about 36238.4202332276. The cubic root of 1313223101 is about 1095.0808169259.

Adding to 1313223101 its reverse (1013223131), we get a palindrome (2326446232).

The spelling of 1313223101 in words is "one billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred one".