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23121100 = 22521943283
BaseRepresentation
bin101100000110…
…0110011001100
31121111200012001
41120030303030
521404333400
62143322044
7400345312
oct130146314
947450161
1023121100
1112062252
1278b0324
134a36c32
1430dc0b2
15206aa6a
hex160cccc

23121100 has 72 divisors (see below), whose sum is σ = 54232640. Its totient is φ = 8527680.

The previous prime is 23121073. The next prime is 23121101. The reversal of 23121100 is 112132.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81559 + ... + 81841.

Almost surely, 223121100 is an apocalyptic number.

23121100 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 23121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27116320).

23121100 is an abundant number, since it is smaller than the sum of its proper divisors (31111540).

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

23121100 is a wasteful number, since it uses less digits than its factorization.

23121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 23121100 is about 4808.4404956285. The cubic root of 23121100 is about 284.8849438108.

Adding to 23121100 its reverse (112132), we get a palindrome (23233232).

The spelling of 23121100 in words is "twenty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 283 380 430 475 566 817 860 950 1075 1132 1415 1634 1900 2150 2830 3268 4085 4300 5377 5660 7075 8170 10754 12169 14150 16340 20425 21508 24338 26885 28300 40850 48676 53770 60845 81700 107540 121690 134425 231211 243380 268850 304225 462422 537700 608450 924844 1156055 1216900 2312110 4624220 5780275 11560550 23121100