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100237135829 is a prime number
BaseRepresentation
bin101110101011010011…
…0010100111111010101
3100120201200212002110012
41131112212110333111
53120241201321304
6114014233410005
710145653411415
oct1352646247725
9316650762405
10100237135829
1139568282826
1217515269905
1395b59999bc
144bcc74c645
152919e7c16e
hex1756994fd5

100237135829 has 2 divisors, whose sum is σ = 100237135830. Its totient is φ = 100237135828.

The previous prime is 100237135793. The next prime is 100237135837. The reversal of 100237135829 is 928531732001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79790995729 + 20446140100 = 282473^2 + 142990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100237135829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100237135529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50118567914 + 50118567915.

It is an arithmetic number, because the mean of its divisors is an integer number (50118567915).

Almost surely, 2100237135829 is an apocalyptic number.

It is an amenable number.

100237135829 is a deficient number, since it is larger than the sum of its proper divisors (1).

100237135829 is an equidigital number, since it uses as much as digits as its factorization.

100237135829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 100237135829 in words is "one hundred billion, two hundred thirty-seven million, one hundred thirty-five thousand, eight hundred twenty-nine".