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1132693976310 = 2351317616534289
BaseRepresentation
bin10000011110111001110…
…100100111010011110110
311000021200101112211212020
4100132321310213103312
5122024224124220220
62224204042534010
7144556132640511
oct20367164472366
94007611484766
101132693976310
113a7411247326
12163634b07306
1382a743280a0
143cb73617d78
151e6e5d70040
hex107b9d274f6

1132693976310 has 256 divisors, whose sum is σ = 3156165492480. Its totient is φ = 257658716160.

The previous prime is 1132693976299. The next prime is 1132693976321. The reversal of 1132693976310 is 136793962311.

It is an interprime number because it is at equal distance from previous prime (1132693976299) and next prime (1132693976321).

It is a super-2 number, since 2×11326939763102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264090646 + ... + 264094934.

It is an arithmetic number, because the mean of its divisors is an integer number (12328771455).

Almost surely, 21132693976310 is an apocalyptic number.

1132693976310 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 1132693976310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578082746240).

1132693976310 is an abundant number, since it is smaller than the sum of its proper divisors (2023471516170).

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

1132693976310 is a wasteful number, since it uses less digits than its factorization.

1132693976310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043.

The product of its (nonzero) digits is 1102248, while the sum is 51.

The spelling of 1132693976310 in words is "one trillion, one hundred thirty-two billion, six hundred ninety-three million, nine hundred seventy-six thousand, three hundred ten".