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1130232031200 = 253352389134513
BaseRepresentation
bin10000011100100111000…
…101000010011111100000
311000001022210222002002000
4100130213011002133200
5122004203344444300
62223115454524000
7144441126516126
oct20344705023740
94001283862060
101130232031200
113a6368575548
12163068506600
138277126102c
143c9bc671916
151e5eeb5ec00
hex107271427e0

1130232031200 has 288 divisors, whose sum is σ = 4098211135200. Its totient is φ = 300618178560.

The previous prime is 1130232031183. The next prime is 1130232031241. The reversal of 1130232031200 is 21302320311.

1130232031200 is a `hidden beast` number, since 1 + 1 + 30 + 2 + 320 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8335144 + ... + 8469656.

It is an arithmetic number, because the mean of its divisors is an integer number (14229899775).

Almost surely, 21130232031200 is an apocalyptic number.

1130232031200 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 1130232031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049105567600).

1130232031200 is an abundant number, since it is smaller than the sum of its proper divisors (2967979104000).

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

1130232031200 is a wasteful number, since it uses less digits than its factorization.

1130232031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134931 (or 134912 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1130232031200 its reverse (21302320311), we get a palindrome (1151534351511).

The spelling of 1130232031200 in words is "one trillion, one hundred thirty billion, two hundred thirty-two million, thirty-one thousand, two hundred".