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331903729121 is a prime number
BaseRepresentation
bin1001101010001110000…
…00001111110111100001
31011201200221102101112012
410311013000033313201
520414214323312441
6412250252442305
732656612102016
oct4650700176741
91151627371465
10331903729121
1111883a003188
12543a9a79395
13253b5731a33
14120c834570d
1589784d09eb
hex4d4700fde1

331903729121 has 2 divisors, whose sum is σ = 331903729122. Its totient is φ = 331903729120.

The previous prime is 331903729051. The next prime is 331903729219. The reversal of 331903729121 is 121927309133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222500890000 + 109402839121 = 471700^2 + 330761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331903729121 is a prime.

It is a super-2 number, since 2×3319037291212 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331903725121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165951864560 + 165951864561.

It is an arithmetic number, because the mean of its divisors is an integer number (165951864561).

Almost surely, 2331903729121 is an apocalyptic number.

It is an amenable number.

331903729121 is a deficient number, since it is larger than the sum of its proper divisors (1).

331903729121 is an equidigital number, since it uses as much as digits as its factorization.

331903729121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 41.

The spelling of 331903729121 in words is "three hundred thirty-one billion, nine hundred three million, seven hundred twenty-nine thousand, one hundred twenty-one".