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20113002000 = 2433537134093
BaseRepresentation
bin10010101110110101…
…000000111000010000
31220220201011100212000
4102232311000320100
5312142412031000
613123443234000
71311263460540
oct225665007020
956821140760
1020113002000
1185912a1103
123a93978900
131b86c21520
14d8b2dd320
157cab3d000
hex4aed40e10

20113002000 has 640 divisors, whose sum is σ = 88697656320. Its totient is φ = 4242585600.

The previous prime is 20113001989. The next prime is 20113002023. The reversal of 20113002000 is 20031102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4911954 + ... + 4916046.

It is an arithmetic number, because the mean of its divisors is an integer number (138590088).

Almost surely, 220113002000 is an apocalyptic number.

20113002000 is a gapful number since it is divisible by the number (20) 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 20113002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348828160).

20113002000 is an abundant number, since it is smaller than the sum of its proper divisors (68584654320).

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

20113002000 is a wasteful number, since it uses less digits than its factorization.

20113002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20113002000 its reverse (20031102), we get a palindrome (20133033102).

The spelling of 20113002000 in words is "twenty billion, one hundred thirteen million, two thousand".