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12320342100 = 223252111244479
BaseRepresentation
bin10110111100101100…
…11000000001010100
31011210121220020002200
423132112120001110
5200213001421400
65354311404500
7614211115503
oct133626300124
934717806080
1012320342100
11525256a410
12247a083730
131214635671
1484c3a883a
154c194bb00
hex2de598054

12320342100 has 108 divisors (see below), whose sum is σ = 42128136960. Its totient is φ = 2986747200.

The previous prime is 12320342071. The next prime is 12320342129. The reversal of 12320342100 is 124302321.

12320342100 is a `hidden beast` number, since 1 + 2 + 320 + 342 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12320342071) and next prime (12320342129).

It is a super-2 number, since 2×123203421002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 612340 + ... + 632139.

Almost surely, 212320342100 is an apocalyptic number.

12320342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320342100 is an abundant number, since it is smaller than the sum of its proper divisors (29807794860).

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

12320342100 is a wasteful number, since it uses less digits than its factorization.

12320342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244510 (or 1244500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12320342100 its reverse (124302321), we get a palindrome (12444644421).

The spelling of 12320342100 in words is "twelve billion, three hundred twenty million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1244479 2488958 3733437 4977916 6222395 7466874 11200311 12444790 13689269 14933748 18667185 22400622 24889580 27378538 31111975 37334370 41067807 44801244 54757076 56001555 62223950 68446345 74668740 82135614 93335925 112003110 123203421 124447900 136892690 164271228 186671850 205339035 224006220 246406842 273785380 280007775 342231725 373343700 410678070 492813684 560015550 616017105 684463450 821356140 1026695175 1120031100 1232034210 1368926900 2053390350 2464068420 3080085525 4106780700 6160171050 12320342100