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10124019329 is a prime number
BaseRepresentation
bin10010110110111000…
…00100011010000001
3222010120010110122212
421123130010122001
5131213222104304
64352332511505
7505611513224
oct113334043201
928116113585
1010124019329
114325821626
121b6661b595
13c545c09a8
146c08075bb
153e3c0966e
hex25b704681

10124019329 has 2 divisors, whose sum is σ = 10124019330. Its totient is φ = 10124019328.

The previous prime is 10124019313. The next prime is 10124019343. The reversal of 10124019329 is 92391042101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8737201729 + 1386817600 = 93473^2 + 37240^2 .

It is a cyclic number.

It is not a de Polignac number, because 10124019329 - 24 = 10124019313 is a prime.

It is a super-2 number, since 2×101240193292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10124019295 and 10124019304.

It is not a weakly prime, because it can be changed into another prime (10124019359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5062009664 + 5062009665.

It is an arithmetic number, because the mean of its divisors is an integer number (5062009665).

Almost surely, 210124019329 is an apocalyptic number.

It is an amenable number.

10124019329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10124019329 is an equidigital number, since it uses as much as digits as its factorization.

10124019329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10124019329 in words is "ten billion, one hundred twenty-four million, nineteen thousand, three hundred twenty-nine".