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20011338900 = 22335276715803
BaseRepresentation
bin10010101000110001…
…001100110010010100
31220122121212100022000
4102220301030302110
5311440400321100
613105412235300
71305620400630
oct225061146224
956577770260
1020011338900
118539974113
123a6590bb30
131b6bb47a47
14d7b9d7dc0
157c1c5a900
hex4a8c4cc94

20011338900 has 288 divisors, whose sum is σ = 74625223680. Its totient is φ = 4505466240.

The previous prime is 20011338803. The next prime is 20011338923. The reversal of 20011338900 is 983311002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1258399 + ... + 1274201.

It is an arithmetic number, because the mean of its divisors is an integer number (259115360).

Almost surely, 220011338900 is an apocalyptic number.

20011338900 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 20011338900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37312611840).

20011338900 is an abundant number, since it is smaller than the sum of its proper divisors (54613884780).

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

20011338900 is a wasteful number, since it uses less digits than its factorization.

20011338900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15900 (or 15887 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 20011338900 its reverse (983311002), we get a palindrome (20994649902).

The spelling of 20011338900 in words is "twenty billion, eleven million, three hundred thirty-eight thousand, nine hundred".