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20100300220 = 225711137179179
BaseRepresentation
bin10010101110000100…
…100011110110111100
31220212211021001021201
4102232010203312330
5312131134101340
613122311105244
71311050506240
oct225604436674
956784231251
1020100300220
118585106070
123a8b672224
131b843c4c90
14d89754420
157c997e79a
hex4ae123dbc

20100300220 has 384 divisors, whose sum is σ = 58525286400. Its totient is φ = 5598028800.

The previous prime is 20100300197. The next prime is 20100300223. The reversal of 20100300220 is 2200300102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20100300197 and 20100300206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100300223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112292091 + ... + 112292269.

It is an arithmetic number, because the mean of its divisors is an integer number (152409600).

Almost surely, 220100300220 is an apocalyptic number.

20100300220 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 20100300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262643200).

20100300220 is an abundant number, since it is smaller than the sum of its proper divisors (38424986180).

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

20100300220 is a wasteful number, since it uses less digits than its factorization.

20100300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20100300220 its reverse (2200300102), we get a palindrome (22300600322).

The spelling of 20100300220 in words is "twenty billion, one hundred million, three hundred thousand, two hundred twenty".