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103291937681 is a prime number
BaseRepresentation
bin110000000110010101…
…1011110001110010001
3100212121121000002210112
41200030223132032101
53143020214001211
6115241320411105
710314445661312
oct1401453361621
9325547002715
10103291937681
113a895673659
1218028316a95
13998182b16a
144ddc33c609
152a4824888b
hex180cade391

103291937681 has 2 divisors, whose sum is σ = 103291937682. Its totient is φ = 103291937680.

The previous prime is 103291937587. The next prime is 103291937701. The reversal of 103291937681 is 186739192301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72231400081 + 31060537600 = 268759^2 + 176240^2 .

It is a cyclic number.

It is not a de Polignac number, because 103291937681 - 214 = 103291921297 is a prime.

It is a super-2 number, since 2×1032919376812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103291937381) 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, 51645968840 + 51645968841.

It is an arithmetic number, because the mean of its divisors is an integer number (51645968841).

Almost surely, 2103291937681 is an apocalyptic number.

It is an amenable number.

103291937681 is a deficient number, since it is larger than the sum of its proper divisors (1).

103291937681 is an equidigital number, since it uses as much as digits as its factorization.

103291937681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 489888, while the sum is 50.

The spelling of 103291937681 in words is "one hundred three billion, two hundred ninety-one million, nine hundred thirty-seven thousand, six hundred eighty-one".