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20232213100 = 22521122518171
BaseRepresentation
bin10010110101111011…
…110001001001101100
31221020000110220201221
4102311323301021230
5312413421304400
613143342313124
71314241655011
oct226573611154
957200426657
1020232213100
118642614180
123b078887a4
131ba5830338
14d9d091708
157d6339c1a
hex4b5ef126c

20232213100 has 72 divisors (see below), whose sum is σ = 47922307776. Its totient is φ = 7353000000.

The previous prime is 20232213091. The next prime is 20232213119. The reversal of 20232213100 is 131223202.

It is a super-2 number, since 2×202322131002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472015 + ... + 2480185.

It is an arithmetic number, because the mean of its divisors is an integer number (665587608).

Almost surely, 220232213100 is an apocalyptic number.

20232213100 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 20232213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961153888).

20232213100 is an abundant number, since it is smaller than the sum of its proper divisors (27690094676).

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

20232213100 is a wasteful number, since it uses less digits than its factorization.

20232213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20232213100 its reverse (131223202), we get a palindrome (20363436302).

It can be divided in two parts, 20232 and 213100, that added together give a palindrome (233332).

The spelling of 20232213100 in words is "twenty billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2251 4502 8171 9004 11255 16342 22510 24761 32684 40855 45020 49522 56275 81710 89881 99044 112550 123805 163420 179762 204275 225100 247610 359524 408550 449405 495220 619025 817100 898810 1238050 1797620 2247025 2476100 4494050 8988100 18392921 36785842 73571684 91964605 183929210 202322131 367858420 404644262 459823025 809288524 919646050 1011610655 1839292100 2023221310 4046442620 5058053275 10116106550 20232213100