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1130001332000 = 25536110145853
BaseRepresentation
bin10000011100011001010…
…100111111011100100000
311000000201201212100021012
4100130121110333130200
5122003220320111000
62223040534120052
7144432325561532
oct20343124773440
94000651770235
101130001332000
113a625a324852
121630031b0028
1382735518728
143c999b7b852
151e5d978e735
hex1071953f720

1130001332000 has 192 divisors, whose sum is σ = 2849930280288. Its totient is φ = 440179200000.

The previous prime is 1130001331951. The next prime is 1130001332039. The reversal of 1130001332000 is 2331000311.

It can be written as a sum of positive squares in 16 ways, for example, as 5205333904 + 1124795998096 = 72148^2 + 1060564^2 .

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 31 ways as a sum of consecutive naturals, for example, 24621074 + ... + 24666926.

Almost surely, 21130001332000 is an apocalyptic number.

1130001332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130001332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424965140144).

1130001332000 is an abundant number, since it is smaller than the sum of its proper divisors (1719928948288).

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

1130001332000 is a wasteful number, since it uses less digits than its factorization.

1130001332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46040 (or 46022 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1130001332000 its reverse (2331000311), we get a palindrome (1132332332311).

The spelling of 1130001332000 in words is "one trillion, one hundred thirty billion, one million, three hundred thirty-two thousand".