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10102431377 is a prime number
BaseRepresentation
bin10010110100010011…
…01101111010010001
3222002001111200120002
421122021231322101
5131142210301002
64350242055345
7505230151463
oct113211557221
928061450502
1010102431377
114314617245
121b5b34a555
13c4cca285c
146bb9c8133
153e1d93002
hex25a26de91

10102431377 has 2 divisors, whose sum is σ = 10102431378. Its totient is φ = 10102431376.

The previous prime is 10102431343. The next prime is 10102431431. The reversal of 10102431377 is 77313420101.

It is a happy number.

10102431377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8699479441 + 1402951936 = 93271^2 + 37456^2 .

It is an emirp because it is prime and its reverse (77313420101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102431377 - 228 = 9833995921 is a prime.

It is a super-2 number, since 2×101024313772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10102431337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051215688 + 5051215689.

It is an arithmetic number, because the mean of its divisors is an integer number (5051215689).

Almost surely, 210102431377 is an apocalyptic number.

It is an amenable number.

10102431377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102431377 is an equidigital number, since it uses as much as digits as its factorization.

10102431377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 10102431377 its reverse (77313420101), we get a palindrome (87415851478).

The spelling of 10102431377 in words is "ten billion, one hundred two million, four hundred thirty-one thousand, three hundred seventy-seven".