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1002311033130 = 23251119432235557
BaseRepresentation
bin11101001010111100110…
…01001010000100101010
310112211010210001001221200
432211132121022010222
5112410213111030010
62044242203545030
7132262126131651
oct16453631120452
93484123031850
101002311033130
113570944a2330
12142307b2b176
1373696004874
1436725348198
151b1145b6cc0
hexe95e64a12a

1002311033130 has 384 divisors, whose sum is σ = 3076425031680. Its totient is φ = 223793902080.

The previous prime is 1002311033123. The next prime is 1002311033147. The reversal of 1002311033130 is 313301132001.

It is a happy number.

1002311033130 is a `hidden beast` number, since 100 + 231 + 1 + 0 + 331 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 in 191 ways as a sum of consecutive naturals, for example, 180366312 + ... + 180371868.

It is an arithmetic number, because the mean of its divisors is an integer number (8011523520).

Almost surely, 21002311033130 is an apocalyptic number.

1002311033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002311033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538212515840).

1002311033130 is an abundant number, since it is smaller than the sum of its proper divisors (2074113998550).

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

1002311033130 is a wasteful number, since it uses less digits than its factorization.

1002311033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1002311033130 its reverse (313301132001), we get a palindrome (1315612165131).

The spelling of 1002311033130 in words is "one trillion, two billion, three hundred eleven million, thirty-three thousand, one hundred thirty".