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132212320113000 = 23353371191101983
BaseRepresentation
bin11110000011111100010100…
…011000000001000101101000
3122100010101002220121102001210
4132003330110120001011220
5114312131312422104000
61145105300143513120
736564011354326401
oct3603742430010550
9570111086542053
10132212320113000
1139143a25a32486
12129b37725b87a0
1358a07506c09ca
1424911790789a8
15104422c3ee350
hex783f14601168

132212320113000 has 128 divisors (see below), whose sum is σ = 423651153669120. Its totient is φ = 34303737081600.

The previous prime is 132212320112987. The next prime is 132212320113011. The reversal of 132212320113000 is 311023212231.

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 31 ways as a sum of consecutive naturals, for example, 595439992 + ... + 595661991.

It is an arithmetic number, because the mean of its divisors is an integer number (3309774638040).

Almost surely, 2132212320113000 is an apocalyptic number.

132212320113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212320113000 is an abundant number, since it is smaller than the sum of its proper divisors (291438833556120).

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

132212320113000 is a wasteful number, since it uses less digits than its factorization.

132212320113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191102044 (or 1191102030 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132212320113000 its reverse (311023212231), we get a palindrome (132523343325231).

The spelling of 132212320113000 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred twenty million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 1191101983 2382203966 3573305949 4764407932 5955509915 7146611898 9528815864 11911019830 14293223796 17866529745 23822039660 28586447592 29777549575 35733059490 44070773371 47644079320 59555099150 71466118980 88141546742 89332648725 119110198300 132212320113 142932237960 148887747875 176283093484 178665297450 220353866855 238220396600 264424640226 297775495750 352566186968 357330594900 440707733710 446663243625 528849280452 595550991500 661061600565 714661189800 881415467420 893326487250 1057698560904 1101769334275 1191101983000 1322123201130 1762830934840 1786652974500 2203538668550 2644246402260 3305308002825 3573305949000 4407077337100 5288492804520 5508846671375 6610616005650 8814154674200 11017693342750 13221232011300 16526540014125 22035386685500 26442464022600 33053080028250 44070773371000 66106160056500 132212320113000