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1021113132000 = 253531343115187
BaseRepresentation
bin11101101101111110001…
…01011110001111100000
310121121200010111122202220
432312333011132033200
5113212214430211000
62101032022111040
7133526064261513
oct16667705361740
93547603448686
101021113132000
11364062819515
12145a9487b480
13753a1471460
14375ca4c8d7a
151b8650ae1a0
hexedbf15e3e0

1021113132000 has 384 divisors, whose sum is σ = 3611083327488. Its totient is φ = 250751232000.

The previous prime is 1021113131893. The next prime is 1021113132041. The reversal of 1021113132000 is 2313111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67228407 + ... + 67243593.

It is an arithmetic number, because the mean of its divisors is an integer number (9403862832).

Almost surely, 21021113132000 is an apocalyptic number.

1021113132000 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 1021113132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805541663744).

1021113132000 is an abundant number, since it is smaller than the sum of its proper divisors (2589970195488).

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

1021113132000 is a wasteful number, since it uses less digits than its factorization.

1021113132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15659 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1021113132000 its reverse (2313111201), we get a palindrome (1023426243201).

The spelling of 1021113132000 in words is "one trillion, twenty-one billion, one hundred thirteen million, one hundred thirty-two thousand".