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20210211100 = 22521019472113
BaseRepresentation
bin10010110100100111…
…110101100100011100
31221011111002002200001
4102310213311210130
5312342303223400
613141234544044
71313553650152
oct226447654434
957144062601
1020210211100
118631156802
123b00438024
131ba10c88c1
14d9a1a53d2
157d4440a6a
hex4b49f591c

20210211100 has 72 divisors (see below), whose sum is σ = 44358129648. Its totient is φ = 7991808000.

The previous prime is 20210211059. The next prime is 20210211121. The reversal of 20210211100 is 111201202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9563644 + ... + 9565756.

It is an arithmetic number, because the mean of its divisors is an integer number (616085134).

Almost surely, 220210211100 is an apocalyptic number.

20210211100 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 20210211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179064824).

20210211100 is an abundant number, since it is smaller than the sum of its proper divisors (24147918548).

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

20210211100 is a wasteful number, since it uses less digits than its factorization.

20210211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20210211100 its reverse (111201202), we get a palindrome (20321412302).

The spelling of 20210211100 in words is "twenty billion, two hundred ten million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 947 1010 1894 2020 2113 2525 3788 4226 4735 5050 8452 9470 10100 10565 18940 21130 23675 42260 47350 52825 94700 95647 105650 191294 211300 213413 382588 426826 478235 853652 956470 1067065 1912940 2001011 2134130 2391175 4002022 4268260 4782350 5335325 8004044 9564700 10005055 10670650 20010110 21341300 40020220 50025275 100050550 200101100 202102111 404204222 808408444 1010510555 2021021110 4042042220 5052552775 10105105550 20210211100