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23211054100 = 225213158311279
BaseRepresentation
bin10101100111011111…
…001001010000010100
32012220121200201101101
4111213133021100110
5340014012212400
614355113235444
71451122463443
oct254737112024
965817621341
1023211054100
119931042543
1245b9402b84
13225ba16a50
1411a294ad5a
1590caee56a
hex5677c9414

23211054100 has 72 divisors (see below), whose sum is σ = 54281525760. Its totient is φ = 8564062080.

The previous prime is 23211054067. The next prime is 23211054109. The reversal of 23211054100 is 145011232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211054109) by changing a digit.

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, 2052261 + ... + 2063539.

It is an arithmetic number, because the mean of its divisors is an integer number (753910080).

Almost surely, 223211054100 is an apocalyptic number.

23211054100 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 23211054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27140762880).

23211054100 is an abundant number, since it is smaller than the sum of its proper divisors (31070471660).

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

23211054100 is a wasteful number, since it uses less digits than its factorization.

23211054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12882 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 23211054100 its reverse (145011232), we get a palindrome (23356065332).

The spelling of 23211054100 in words is "twenty-three billion, two hundred eleven million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1583 3166 6332 7915 11279 15830 20579 22558 31660 39575 41158 45116 56395 79150 82316 102895 112790 146627 158300 205790 225580 281975 293254 411580 514475 563950 586508 733135 1028950 1127900 1466270 2057900 2932540 3665675 7331350 14662700 17854657 35709314 71418628 89273285 178546570 232110541 357093140 446366425 464221082 892732850 928442164 1160552705 1785465700 2321105410 4642210820 5802763525 11605527050 23211054100