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23132133100 = 22522575231721
BaseRepresentation
bin10101100010110010…
…000101011011101100
32012201010012010010101
4111202302011123230
5334333311224400
614343213520444
71446143613166
oct254262053354
965633163111
1023132133100
1198a0538a7a
124596aa3124
13224857382b
141196285936
15905c1056a
hex562c856ec

23132133100 has 72 divisors (see below), whose sum is σ = 50517735408. Its totient is φ = 9193881600.

The previous prime is 23132133077. The next prime is 23132133107. The reversal of 23132133100 is 133123132.

It is a super-2 number, since 2×231321331002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23132133107) 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, 13440240 + ... + 13441960.

It is an arithmetic number, because the mean of its divisors is an integer number (701635214).

Almost surely, 223132133100 is an apocalyptic number.

23132133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132133100 is an abundant number, since it is smaller than the sum of its proper divisors (27385602308).

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

23132133100 is a wasteful number, since it uses less digits than its factorization.

23132133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 23132133100 its reverse (133123132), we get a palindrome (23265256232).

The spelling of 23132133100 in words is "twenty-three billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 523 1028 1046 1285 1721 2092 2570 2615 3442 5140 5230 6425 6884 8605 10460 12850 13075 17210 25700 26150 34420 43025 52300 86050 134411 172100 268822 442297 537644 672055 884594 900083 1344110 1769188 1800166 2211485 2688220 3360275 3600332 4422970 4500415 6720550 8845940 9000830 11057425 13441100 18001660 22114850 22502075 44229700 45004150 90008300 231321331 462642662 925285324 1156606655 2313213310 4626426620 5783033275 11566066550 23132133100