Search a number
-
+
12321150140 = 22513234434651
BaseRepresentation
bin10110111100110010…
…11101010010111100
31011210200102021112002
423132121131102330
5200213203301030
65354341001432
7614221022345
oct133631352274
934720367462
1012321150140
115252a71512
12247a3b3278
1312148593b0
1484c5390cc
154c1a5b245
hex2de65d4bc

12321150140 has 96 divisors (see below), whose sum is σ = 29148166656. Its totient is φ = 4340793600.

The previous prime is 12321150097. The next prime is 12321150169. The reversal of 12321150140 is 4105112321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646815 + ... + 2651465.

It is an arithmetic number, because the mean of its divisors is an integer number (303626736).

Almost surely, 212321150140 is an apocalyptic number.

12321150140 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 12321150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574083328).

12321150140 is an abundant number, since it is smaller than the sum of its proper divisors (16827016516).

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

12321150140 is a wasteful number, since it uses less digits than its factorization.

12321150140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 12321150140 its reverse (4105112321), we get a palindrome (16426262461).

The spelling of 12321150140 in words is "twelve billion, three hundred twenty-one million, one hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 443 460 598 886 1196 1495 1772 2215 2990 4430 4651 5759 5980 8860 9302 10189 11518 18604 20378 23036 23255 28795 40756 46510 50945 57590 60463 93020 101890 106973 115180 120926 132457 203780 213946 241852 264914 302315 427892 529828 534865 604630 662285 1069730 1209260 1324570 1390649 2060393 2139460 2649140 2781298 4120786 5562596 6953245 8241572 10301965 13906490 20603930 26785109 27812980 41207860 47389039 53570218 94778078 107140436 133925545 189556156 236945195 267851090 473890390 535702180 616057507 947780780 1232115014 2464230028 3080287535 6160575070 12321150140