Search a number
-
+
20323012100 = 22521711954713
BaseRepresentation
bin10010111011010110…
…001000111000000100
31221110100022222112212
4102323112020320010
5313110142341400
613200344402552
71316423516066
oct227326107004
957410288485
1020323012100
1186898a0876
123b32176458
131bbb5a1b61
14dab169736
157de2c3335
hex4bb588e04

20323012100 has 36 divisors (see below), whose sum is σ = 46695112884. Its totient is φ = 7651015680.

The previous prime is 20323012079. The next prime is 20323012103. The reversal of 20323012100 is 121032302.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 85673536 + 20237338564 = 9256^2 + 142258^2 .

It is not an unprimeable number, because it can be changed into a prime (20323012103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5975657 + ... + 5979056.

It is an arithmetic number, because the mean of its divisors is an integer number (1297086469).

Almost surely, 220323012100 is an apocalyptic number.

20323012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20323012100 is an abundant number, since it is smaller than the sum of its proper divisors (26372100784).

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

20323012100 is a wasteful number, since it uses less digits than its factorization.

20323012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954744 (or 11954737 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20323012100 its reverse (121032302), we get a palindrome (20444044402).

The spelling of 20323012100 in words is "twenty billion, three hundred twenty-three million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 11954713 23909426 47818852 59773565 119547130 203230121 239094260 298867825 406460242 597735650 812920484 1016150605 1195471300 2032301210 4064602420 5080753025 10161506050 20323012100