Search a number
-
+
12320140100 = 2252714433917
BaseRepresentation
bin10110111100101011…
…00110101101000100
31011210121111222000012
423132111212231010
5200212423440400
65354303205352
7614206314542
oct133625465504
934717458005
1012320140100
115252441674
122479ba6858
131214594738
1484c354d92
154c190bd35
hex2de566b44

12320140100 has 72 divisors (see below), whose sum is σ = 27179385408. Its totient is φ = 4846441600.

The previous prime is 12320140099. The next prime is 12320140111. The reversal of 12320140100 is 104102321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3143342 + ... + 3147258.

It is an arithmetic number, because the mean of its divisors is an integer number (377491464).

Almost surely, 212320140100 is an apocalyptic number.

12320140100 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 12320140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589692704).

12320140100 is an abundant number, since it is smaller than the sum of its proper divisors (14859245308).

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

12320140100 is a wasteful number, since it uses less digits than its factorization.

12320140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12320140100 its reverse (104102321), we get a palindrome (12424242421).

The spelling of 12320140100 in words is "twelve billion, three hundred twenty million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 443 710 886 1420 1772 1775 2215 3550 3917 4430 7100 7834 8860 11075 15668 19585 22150 31453 39170 44300 62906 78340 97925 125812 157265 195850 278107 314530 391700 556214 629060 786325 1112428 1390535 1572650 1735231 2781070 3145300 3470462 5562140 6940924 6952675 8676155 13905350 17352310 27810700 34704620 43380775 86761550 123201401 173523100 246402802 492805604 616007005 1232014010 2464028020 3080035025 6160070050 12320140100