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20012201100 = 2232521723293753
BaseRepresentation
bin10010101000110100…
…011111010010001100
31220122200111011000100
4102220310133102030
5311441110413400
613105442531100
71305630621423
oct225064372214
956580434010
1020012201100
11853a402981
123a66066a90
131b6c08a318
14d7bb802ba
157c1d7b100
hex4a8d1f48c

20012201100 has 864 divisors, whose sum is σ = 75021448320. Its totient is φ = 4428103680.

The previous prime is 20012201081. The next prime is 20012201113. The reversal of 20012201100 is 110221002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 377588674 + ... + 377588726.

It is an arithmetic number, because the mean of its divisors is an integer number (86830380).

Almost surely, 220012201100 is an apocalyptic number.

20012201100 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 20012201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37510724160).

20012201100 is an abundant number, since it is smaller than the sum of its proper divisors (55009247220).

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

20012201100 is a wasteful number, since it uses less digits than its factorization.

20012201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

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

Adding to 20012201100 its reverse (110221002), we get a palindrome (20122422102).

It can be divided in two parts, 20012201 and 100, that added together give a triangular number (20012301 = T6326).

The spelling of 20012201100 in words is "twenty billion, twelve million, two hundred one thousand, one hundred".