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12325271900 = 2252537929437
BaseRepresentation
bin10110111101010010…
…01011100101011100
31011210222011200111212
423132221023211130
5200220232200100
65355005203552
7614301040214
oct133651134534
934728150455
1012325271900
115255327227
12247b8605b8
1312156704c6
1484cccd244
154c20c2635
hex2dea4b95c

12325271900 has 72 divisors (see below), whose sum is σ = 27596358720. Its totient is φ = 4775696640.

The previous prime is 12325271873. The next prime is 12325271911. The reversal of 12325271900 is 917252321.

It is a super-2 number, since 2×123252719002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403982 + ... + 433418.

It is an arithmetic number, because the mean of its divisors is an integer number (383282760).

Almost surely, 212325271900 is an apocalyptic number.

12325271900 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 12325271900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798179360).

12325271900 is an abundant number, since it is smaller than the sum of its proper divisors (15271086820).

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

12325271900 is a wasteful number, since it uses less digits than its factorization.

12325271900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29583 (or 29576 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 12325271900 in words is "twelve billion, three hundred twenty-five million, two hundred seventy-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 79 100 106 158 212 265 316 395 530 790 1060 1325 1580 1975 2650 3950 4187 5300 7900 8374 16748 20935 29437 41870 58874 83740 104675 117748 147185 209350 294370 418700 588740 735925 1471850 1560161 2325523 2943700 3120322 4651046 6240644 7800805 9302092 11627615 15601610 23255230 31203220 39004025 46510460 58138075 78008050 116276150 123252719 156016100 232552300 246505438 493010876 616263595 1232527190 2465054380 3081317975 6162635950 12325271900