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20021210100 = 223352193831019
BaseRepresentation
bin10010101001010110…
…110110101111110100
31220200022102212001000
4102221112312233310
5312000412210400
613110404003300
71306100322633
oct225126665764
956608385030
1020021210100
1185444a6531
123a69090530
131b70bc2aa8
14d7d04751a
157c2a5a600
hex4a95b6bf4

20021210100 has 288 divisors, whose sum is σ = 67995648000. Its totient is φ = 5039832960.

The previous prime is 20021210087. The next prime is 20021210147. The reversal of 20021210100 is 101212002.

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

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, 19647391 + ... + 19648409.

It is an arithmetic number, because the mean of its divisors is an integer number (236096000).

Almost surely, 220021210100 is an apocalyptic number.

20021210100 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 20021210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997824000).

20021210100 is an abundant number, since it is smaller than the sum of its proper divisors (47974437900).

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

20021210100 is a wasteful number, since it uses less digits than its factorization.

20021210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20021210100 its reverse (101212002), we get a palindrome (20122422102).

The spelling of 20021210100 in words is "twenty billion, twenty-one million, two hundred ten thousand, one hundred".