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100348901929 is a prime number
BaseRepresentation
bin101110101110101000…
…0101011101000101001
3100121000111011101201101
41131131100223220221
53121003304330204
6114033305121401
710151511410203
oct1353520535051
9317014141641
10100348901929
1139615380301
1217546789261
139602b9cba3
144bdd523773
152924ba7ea4
hex175d42ba29

100348901929 has 2 divisors, whose sum is σ = 100348901930. Its totient is φ = 100348901928.

The previous prime is 100348901867. The next prime is 100348901953. The reversal of 100348901929 is 929109843001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64749891600 + 35599010329 = 254460^2 + 188677^2 .

It is an emirp because it is prime and its reverse (929109843001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100348901929 - 29 = 100348901417 is a prime.

It is not a weakly prime, because it can be changed into another prime (100348901959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50174450964 + 50174450965.

It is an arithmetic number, because the mean of its divisors is an integer number (50174450965).

Almost surely, 2100348901929 is an apocalyptic number.

It is an amenable number.

100348901929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100348901929 is an equidigital number, since it uses as much as digits as its factorization.

100348901929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 100348901929 in words is "one hundred billion, three hundred forty-eight million, nine hundred one thousand, nine hundred twenty-nine".