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1132101312120 = 23325293747127491
BaseRepresentation
bin10000011110010110011…
…111110001111001111000
311000020011002100101102200
4100132112133301321320
5122022020413441440
62224025152030200
7144535345243542
oct20362637617170
94006132311380
101132101312120
113a7137749a09
121634aa532360
13829ab5ca50c
143cb18a20692
151e6add00c30
hex107967f1e78

1132101312120 has 768 divisors, whose sum is σ = 4031874662400. Its totient is φ = 274824990720.

The previous prime is 1132101312107. The next prime is 1132101312217. The reversal of 1132101312120 is 212131012311.

1132101312120 is a `hidden beast` number, since 1 + 1 + 321 + 0 + 131 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1132101312093 and 1132101312102.

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 191 ways as a sum of consecutive naturals, for example, 2305705075 + ... + 2305705565.

It is an arithmetic number, because the mean of its divisors is an integer number (5249836800).

Almost surely, 21132101312120 is an apocalyptic number.

1132101312120 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 1132101312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015937331200).

1132101312120 is an abundant number, since it is smaller than the sum of its proper divisors (2899773350280).

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

1132101312120 is a wasteful number, since it uses less digits than its factorization.

1132101312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1132101312120 its reverse (212131012311), we get a palindrome (1344232324431).

The spelling of 1132101312120 in words is "one trillion, one hundred thirty-two billion, one hundred one million, three hundred twelve thousand, one hundred twenty".