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12329900 = 22521121019
BaseRepresentation
bin101111000010…
…001110101100
3212012102102222
4233002032230
511124024100
61120134512
7206542142
oct57021654
925172388
1012329900
116a61700
124167438
1327291cb
1418cd592
151138485
hexbc23ac

12329900 has 54 divisors (see below), whose sum is σ = 29438220. Its totient is φ = 4479200.

The previous prime is 12329897. The next prime is 12329903. The reversal of 12329900 is 992321.

12329900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12329897) and next prime (12329903).

It is a self number, because there is not a number n which added to its sum of digits gives 12329900.

It is not an unprimeable number, because it can be changed into a prime (12329903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11591 + ... + 12609.

Almost surely, 212329900 is an apocalyptic number.

12329900 is a gapful number since it is divisible by the number (10) 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 12329900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719110).

12329900 is an abundant number, since it is smaller than the sum of its proper divisors (17108320).

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

12329900 is a wasteful number, since it uses less digits than its factorization.

12329900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 12329900 is about 3511.3957338927. The cubic root of 12329900 is about 231.0219177994.

The spelling of 12329900 in words is "twelve million, three hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1019 1100 1210 2038 2420 3025 4076 5095 6050 10190 11209 12100 20380 22418 25475 44836 50950 56045 101900 112090 123299 224180 246598 280225 493196 560450 616495 1120900 1232990 2465980 3082475 6164950 12329900