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137331032321 = 7213121394459
BaseRepresentation
bin111111111100110010…
…0010100000100000001
3111010110211120021101102
41333321210110010001
54222223221013241
6143031120344145
712631122341300
oct1777144240401
9433424507342
10137331032321
115327287322a
1222747a75055
13cc47952392
14690ad96437
15388b76b39b
hex1ff9914101

137331032321 has 12 divisors (see below), whose sum is σ = 160971917040. Its totient is φ = 116813740680.

The previous prime is 137331032249. The next prime is 137331032341. The reversal of 137331032321 is 123230133731.

It is a de Polignac number, because none of the positive numbers 2k-137331032321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137331032341) 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 in 11 ways as a sum of consecutive naturals, for example, 10690811 + ... + 10703648.

It is an arithmetic number, because the mean of its divisors is an integer number (13414326420).

Almost surely, 2137331032321 is an apocalyptic number.

It is an amenable number.

137331032321 is a deficient number, since it is larger than the sum of its proper divisors (23640884719).

137331032321 is a wasteful number, since it uses less digits than its factorization.

137331032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21394604 (or 21394597 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The spelling of 137331032321 in words is "one hundred thirty-seven billion, three hundred thirty-one million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 7 49 131 917 6419 21394459 149761213 1048328491 2802674129 19618718903 137331032321