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10102032329 is a prime number
BaseRepresentation
bin10010110100010000…
…01100011111001001
3222002000202102011112
421122020030133021
5131142110013304
64350225340105
7505223600204
oct113210143711
928060672145
1010102032329
114314374454
121b5b197635
13c4cb9302c
146bb92293b
153e1d14b6e
hex25a20c7c9

10102032329 has 2 divisors, whose sum is σ = 10102032330. Its totient is φ = 10102032328.

The previous prime is 10102032323. The next prime is 10102032361. The reversal of 10102032329 is 92323020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8731033600 + 1370998729 = 93440^2 + 37027^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102032329 - 224 = 10085255113 is a prime.

It is a super-2 number, since 2×101020323292 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10102032323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051016164 + 5051016165.

It is an arithmetic number, because the mean of its divisors is an integer number (5051016165).

Almost surely, 210102032329 is an apocalyptic number.

It is an amenable number.

10102032329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102032329 is an equidigital number, since it uses as much as digits as its factorization.

10102032329 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10102032329 in words is "ten billion, one hundred two million, thirty-two thousand, three hundred twenty-nine".