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10102032029 is a prime number
BaseRepresentation
bin10010110100010000…
…01100011010011101
3222002000202101202102
421122020030122131
5131142110011104
64350225334445
7505223566265
oct113210143235
928060671672
1010102032029
114314374201
121b5b197425
13c4cb92b5b
146bb9227a5
153e1d14a1e
hex25a20c69d

10102032029 has 2 divisors, whose sum is σ = 10102032030. Its totient is φ = 10102032028.

The previous prime is 10102032023. The next prime is 10102032047. The reversal of 10102032029 is 92023020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9766775929 + 335256100 = 98827^2 + 18310^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102032029 - 24 = 10102032013 is a prime.

It is a super-2 number, since 2×101020320292 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10102032029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102032023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051016014 + 5051016015.

It is an arithmetic number, because the mean of its divisors is an integer number (5051016015).

Almost surely, 210102032029 is an apocalyptic number.

It is an amenable number.

10102032029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102032029 is an equidigital number, since it uses as much as digits as its factorization.

10102032029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 10102032029 in words is "ten billion, one hundred two million, thirty-two thousand, twenty-nine".