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13112021232000 = 273353591393701
BaseRepresentation
bin1011111011001110000101…
…0111100010100110000000
31201102111102022012201201000
42332303201113202212000
53204311404413411000
643515325052212000
72522212052353455
oct276634127424600
951374368181630
1013112021232000
1141a5860179379
12157924546a000
137415c5b54792
143348a782d82c
1517b118e38000
hexbece15e2980

13112021232000 has 1024 divisors, whose sum is σ = 49481228160000. Its totient is φ = 3411624960000.

The previous prime is 13112021231999. The next prime is 13112021232001. The reversal of 13112021232000 is 23212021131.

13112021232000 is a `hidden beast` number, since 1 + 311 + 20 + 2 + 12 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13112021231999) and next prime (13112021232001).

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 (13112021232001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3542830150 + ... + 3542833850.

It is an arithmetic number, because the mean of its divisors is an integer number (48321511875).

Almost surely, 213112021232000 is an apocalyptic number.

13112021232000 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 13112021232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24740614080000).

13112021232000 is an abundant number, since it is smaller than the sum of its proper divisors (36369206928000).

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

13112021232000 is a wasteful number, since it uses less digits than its factorization.

13112021232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13112021232000 its reverse (23212021131), we get a palindrome (13135233253131).

The spelling of 13112021232000 in words is "thirteen trillion, one hundred twelve billion, twenty-one million, two hundred thirty-two thousand".