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20001100002000 = 2435313373968581
BaseRepresentation
bin1001000110000110111100…
…11101011111001011010000
32121211002100001022101201120
410203003132131133023100
510110144223100031000
6110312213431002240
74133013621623535
oct443033635371320
977732301271646
1020001100002000
1164114675838a7
1222b041bb09380
13b211321655b0
144d20b639ad8c
1524a41b71c6a0
hex1230de75f2d0

20001100002000 has 320 divisors, whose sum is σ = 69463404890880. Its totient is φ = 4921959168000.

The previous prime is 20001100001999. The next prime is 20001100002017. The reversal of 20001100002000 is 20000110002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20001100002000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291607710 + ... + 291676290.

It is an arithmetic number, because the mean of its divisors is an integer number (217073140284).

Almost surely, 220001100002000 is an apocalyptic number.

20001100002000 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 20001100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34731702445440).

20001100002000 is an abundant number, since it is smaller than the sum of its proper divisors (49462304888880).

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

20001100002000 is a wasteful number, since it uses less digits than its factorization.

20001100002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72359 (or 72343 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20001100002000 its reverse (20000110002), we get a palindrome (20021100112002).

The spelling of 20001100002000 in words is "twenty trillion, one billion, one hundred million, two thousand".