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23023233100 = 22527212736997
BaseRepresentation
bin10101011100010010…
…101010100001001100
32012102112021102102001
4111130102222201030
5334122421424400
614324323442044
71443352152400
oct253422524114
965375242361
1023023233100
11984501887a
124566526324
13222bb3506a
141185a19100
158eb39da6a
hex55c4aa84c

23023233100 has 108 divisors (see below), whose sum is σ = 58576417536. Its totient is φ = 7831313280.

The previous prime is 23023233097. The next prime is 23023233131. The reversal of 23023233100 is 133232032.

It is a happy number.

It is a super-2 number, since 2×230232331002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 603802 + ... + 640798.

Almost surely, 223023233100 is an apocalyptic number.

23023233100 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 23023233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288208768).

23023233100 is an abundant number, since it is smaller than the sum of its proper divisors (35553184436).

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

23023233100 is a wasteful number, since it uses less digits than its factorization.

23023233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37152 (or 37138 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23023233100 its reverse (133232032), we get a palindrome (23156465132).

The spelling of 23023233100 in words is "twenty-three billion, twenty-three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 127 140 175 196 245 254 350 490 508 635 700 889 980 1225 1270 1778 2450 2540 3175 3556 4445 4900 6223 6350 8890 12446 12700 17780 22225 24892 31115 36997 44450 62230 73994 88900 124460 147988 155575 184985 258979 311150 369970 517958 622300 739940 924925 1035916 1294895 1812853 1849850 2589790 3625706 3699700 4698619 5179580 6474475 7251412 9064265 9397238 12948950 18128530 18794476 23493095 25897900 32890333 36257060 45321325 46986190 65780666 90642650 93972380 117465475 131561332 164451665 181285300 230232331 234930950 328903330 460464662 469861900 657806660 822258325 920929324 1151161655 1644516650 2302323310 3289033300 4604646620 5755808275 11511616550 23023233100