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11130123132000 = 25325313116314479
BaseRepresentation
bin1010000111110110111100…
…0010010001110001100000
31110102000210102021200021200
42201331233002101301200
52424323443010211000
635401035153521200
72226060553435155
oct241755702216140
943360712250250
1011130123132000
113601293389a24
1212b9113873200
1362974897b252
142a69b513422c
151447c0241500
hexa1f6f091c60

11130123132000 has 576 divisors, whose sum is σ = 40049291842560. Its totient is φ = 2927104128000.

The previous prime is 11130123131993. The next prime is 11130123132001. The reversal of 11130123132000 is 23132103111.

11130123132000 is a `hidden beast` number, since 1 + 11 + 301 + 2 + 31 + 320 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130123132001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 768700761 + ... + 768715239.

It is an arithmetic number, because the mean of its divisors is an integer number (69530020560).

Almost surely, 211130123132000 is an apocalyptic number.

11130123132000 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 11130123132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024645921280).

11130123132000 is an abundant number, since it is smaller than the sum of its proper divisors (28919168710560).

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

11130123132000 is a wasteful number, since it uses less digits than its factorization.

11130123132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11130123132000 its reverse (23132103111), we get a palindrome (11153255235111).

The spelling of 11130123132000 in words is "eleven trillion, one hundred thirty billion, one hundred twenty-three million, one hundred thirty-two thousand".