Search a number
-
+
981335000131 = 17177011326113
BaseRepresentation
bin11100100011111000001…
…11111100010001000011
310110210222220221012010121
432101330013330101003
5112034233230001011
62030452530441111
7130620252604543
oct16217407742103
93423886835117
10981335000131
1134920002a272
1213a233133197
1371702361a15
14356d5593323
151a7d7d00e71
hexe47c1fc443

981335000131 has 8 divisors (see below), whose sum is σ = 1039069644624. Its totient is φ = 923601361920.

The previous prime is 981335000077. The next prime is 981335000161. The reversal of 981335000131 is 131000533189.

981335000131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 981335000131 - 227 = 981200782403 is a prime.

It is a super-2 number, since 2×9813350001312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981335000161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846131 + ... + 3172243.

It is an arithmetic number, because the mean of its divisors is an integer number (129883705578).

Almost surely, 2981335000131 is an apocalyptic number.

981335000131 is a deficient number, since it is larger than the sum of its proper divisors (57734644493).

981335000131 is a wasteful number, since it uses less digits than its factorization.

981335000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503141.

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 981335000131 in words is "nine hundred eighty-one billion, three hundred thirty-five million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 17 177011 326113 3009187 5543921 57725588243 981335000131