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13101132044000 = 2553711133272011
BaseRepresentation
bin1011111010100101100001…
…0100100101011011100000
31201101110022102021122221202
42332221120110211123200
53204122104300402000
643510324343140332
72521345156653620
oct276513024453340
951343272248852
1013101132044000
1141a1182547250
1215771067446a8
1374057bb87c80
14334153566880
1517abcce86dd5
hexbea585256e0

13101132044000 has 384 divisors, whose sum is σ = 43219456809984. Its totient is φ = 3769355520000.

The previous prime is 13101132043981. The next prime is 13101132044003. The reversal of 13101132044000 is 44023110131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101132044003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2367995 + ... + 5640005.

It is an arithmetic number, because the mean of its divisors is an integer number (112550668776).

Almost surely, 213101132044000 is an apocalyptic number.

13101132044000 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 13101132044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21609728404992).

13101132044000 is an abundant number, since it is smaller than the sum of its proper divisors (30118324765984).

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

13101132044000 is a wasteful number, since it uses less digits than its factorization.

13101132044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272067 (or 3272049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13101132044000 its reverse (44023110131), we get a palindrome (13145155154131).

The spelling of 13101132044000 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, forty-four thousand".