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100222031309 is a prime number
BaseRepresentation
bin101110101010110110…
…0101101010111001101
3100120200122102200221112
41131111230231113031
53120223320000214
6114012533541405
710145411132051
oct1352554552715
9316618380845
10100222031309
113955a7a6554
12175101a4865
1395b280b90a
144bca739c61
152918996a3e
hex1755b2d5cd

100222031309 has 2 divisors, whose sum is σ = 100222031310. Its totient is φ = 100222031308.

The previous prime is 100222031197. The next prime is 100222031317. The reversal of 100222031309 is 903130222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56508421225 + 43713610084 = 237715^2 + 209078^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222031309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222031339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111015654 + 50111015655.

It is an arithmetic number, because the mean of its divisors is an integer number (50111015655).

Almost surely, 2100222031309 is an apocalyptic number.

It is an amenable number.

100222031309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222031309 is an equidigital number, since it uses as much as digits as its factorization.

100222031309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 100222031309 in words is "one hundred billion, two hundred twenty-two million, thirty-one thousand, three hundred nine".