Search a number
-
+
132300124214100 = 223521709580144483
BaseRepresentation
bin11110000101001110000101…
…111010000101001101010100
3122100102202202010111220012020
4132011032011322011031110
5114320101123244322400
61145213501002253140
736603240261014343
oct3605160572051524
9570382663456166
10132300124214100
1139178193075197
1212a08797ab71b0
1358a8b045b920b
142495508485b5a
15104666aabe2a0
hex785385e85354

132300124214100 has 144 divisors (see below), whose sum is σ = 383086980239040. Its totient is φ = 35252518784000.

The previous prime is 132300124214039. The next prime is 132300124214149. The reversal of 132300124214100 is 1412421003231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2974150459 + ... + 2974194941.

It is an arithmetic number, because the mean of its divisors is an integer number (2660326251660).

Almost surely, 2132300124214100 is an apocalyptic number.

132300124214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300124214100 is an abundant number, since it is smaller than the sum of its proper divisors (250786856024940).

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

132300124214100 is a wasteful number, since it uses less digits than its factorization.

132300124214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52010 (or 52003 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132300124214100 its reverse (1412421003231), we get a palindrome (133712545217331).

The spelling of 132300124214100 in words is "one hundred thirty-two trillion, three hundred billion, one hundred twenty-four million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1709 3418 5127 5801 6836 8545 10254 11602 17090 17403 20508 23204 25635 29005 34180 34806 42725 44483 51270 58010 69612 85450 87015 88966 102540 116020 128175 133449 145025 170900 174030 177932 222415 256350 266898 290050 348060 435075 444830 512700 533796 580100 667245 870150 889660 1112075 1334490 1740300 2224150 2668980 3336225 4448300 6672450 9913909 13344900 19827818 29741727 39655636 49569545 59483454 76021447 99139090 118966908 148708635 152042894 198278180 228064341 247847725 258045883 297417270 304085788 380107235 456128682 495695450 516091766 594834540 743543175 760214470 774137649 912257364 991390900 1032183532 1140321705 1290229415 1487086350 1520428940 1548275298 1900536175 2280643410 2580458830 2974172700 3096550596 3801072350 3870688245 4561286820 5160917660 5701608525 6451147075 7602144700 7741376490 11403217050 12902294150 15482752980 19353441225 22806434100 25804588300 38706882450 77413764900 441000414047 882000828094 1323001242141 1764001656188 2205002070235 2646002484282 4410004140470 5292004968564 6615006210705 8820008280940 11025010351175 13230012421410 22050020702350 26460024842820 33075031053525 44100041404700 66150062107050 132300124214100