Search a number
-
+
12102332320 = 255137973651
BaseRepresentation
bin10110100010101101…
…01110111110100000
31011020102200011220101
423101112232332200
5144241144113240
65320522552144
7605623061461
oct132126567640
934212604811
1012102332320
1151504a6441
122419068654
1311ab413ab0
1482b458d68
154ac73639a
hex2d15aefa0

12102332320 has 96 divisors (see below), whose sum is σ = 31181310720. Its totient is φ = 4411929600.

The previous prime is 12102332299. The next prime is 12102332383. The reversal of 12102332320 is 2323320121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127495 + ... + 201145.

It is an arithmetic number, because the mean of its divisors is an integer number (324805320).

Almost surely, 212102332320 is an apocalyptic number.

12102332320 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 12102332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590655360).

12102332320 is an abundant number, since it is smaller than the sum of its proper divisors (19078978400).

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

12102332320 is a wasteful number, since it uses less digits than its factorization.

12102332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73758 (or 73750 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12102332320 its reverse (2323320121), we get a palindrome (14425652441).

The spelling of 12102332320 in words is "twelve billion, one hundred two million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 208 260 316 395 416 520 632 790 1027 1040 1264 1580 2054 2080 2528 3160 4108 5135 6320 8216 10270 12640 16432 20540 32864 41080 73651 82160 147302 164320 294604 368255 589208 736510 957463 1178416 1473020 1914926 2356832 2946040 3829852 4787315 5818429 5892080 7659704 9574630 11636858 11784160 15319408 19149260 23273716 29092145 30638816 38298520 46547432 58184290 75639577 76597040 93094864 116368580 151279154 153194080 186189728 232737160 302558308 378197885 465474320 605116616 756395770 930948640 1210233232 1512791540 2420466464 3025583080 6051166160 12102332320