Search a number
-
+
10311031320984 = 23322361208349003
BaseRepresentation
bin1001011000001011100101…
…0110111111000110011000
31100111201120111112110010100
42112002321112333012120
52322413443004232414
633532453345415400
72112642653062422
oct226027126770630
940451514473110
1010311031320984
11331597a411019
1211a641b63a560
1359a431529aa4
142790b1375812
1512d330ccb609
hex960b95bf198

10311031320984 has 192 divisors, whose sum is σ = 29632397333760. Its totient is φ = 3232062155520.

The previous prime is 10311031320983. The next prime is 10311031321001. The reversal of 10311031320984 is 48902313011301.

10311031320984 is a `hidden beast` number, since 1 + 0 + 311 + 0 + 313 + 20 + 9 + 8 + 4 = 666.

10311031320984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311031320983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210391827 + ... + 210440829.

It is an arithmetic number, because the mean of its divisors is an integer number (154335402780).

Almost surely, 210311031320984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311031320984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816198666880).

10311031320984 is an abundant number, since it is smaller than the sum of its proper divisors (19321366012776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10311031320984 is a wasteful number, since it uses less digits than its factorization.

10311031320984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51182 (or 51175 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10311031320984 in words is "ten trillion, three hundred eleven billion, thirty-one million, three hundred twenty thousand, nine hundred eighty-four".