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20210212100 = 22521326957793
BaseRepresentation
bin10010110100100111…
…110101110100000100
31221011111002011001002
4102310213311310010
5312342303241400
613141234552432
71313553653111
oct226447656404
957144064032
1020210212100
118631157531
123b00438718
131ba10c91b0
14d9a1a5908
157d4440ed5
hex4b49f5d04

20210212100 has 72 divisors (see below), whose sum is σ = 47406106440. Its totient is φ = 7434362880.

The previous prime is 20210212097. The next prime is 20210212117. The reversal of 20210212100 is 121201202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11714165824 + 8496046276 = 108232^2 + 92174^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320804 + ... + 378596.

It is an arithmetic number, because the mean of its divisors is an integer number (658418145).

Almost surely, 220210212100 is an apocalyptic number.

20210212100 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 20210212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23703053220).

20210212100 is an abundant number, since it is smaller than the sum of its proper divisors (27195894340).

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

20210212100 is a wasteful number, since it uses less digits than its factorization.

20210212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58089 (or 58082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20210212100 its reverse (121201202), we get a palindrome (20331413302).

The spelling of 20210212100 in words is "twenty billion, two hundred ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 269 325 538 650 1076 1300 1345 2690 3497 5380 6725 6994 13450 13988 17485 26900 34970 57793 69940 87425 115586 174850 231172 288965 349700 577930 751309 1155860 1444825 1502618 2889650 3005236 3756545 5779300 7513090 15026180 15546317 18782725 31092634 37565450 62185268 75130900 77731585 155463170 202102121 310926340 388657925 404204242 777315850 808408484 1010510605 1554631700 2021021210 4042042420 5052553025 10105106050 20210212100