Search a number
-
+
13132232401200 = 2435211994866091
BaseRepresentation
bin1011111100011001011000…
…0011000010000100110000
31201111102120212002111122020
42333012112003002010300
53210124302443314300
643532510403511440
72523525650434143
oct277062603020460
951442525074566
1013132232401200
1142033919199a0
121581146088580
137434971c74b3
14335863ba405a
1517b8ed4b78a0
hexbf1960c2130

13132232401200 has 120 divisors (see below), whose sum is σ = 45891183091776. Its totient is φ = 3183571488000.

The previous prime is 13132232401199. The next prime is 13132232401219. The reversal of 13132232401200 is 210423223131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×131322324012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 497419846 + ... + 497446245.

Almost surely, 213132232401200 is an apocalyptic number.

13132232401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132232401200 is an abundant number, since it is smaller than the sum of its proper divisors (32758950690576).

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

13132232401200 is a wasteful number, since it uses less digits than its factorization.

13132232401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994866123 (or 994866112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13132232401200 its reverse (210423223131), we get a palindrome (13342655624331).

The spelling of 13132232401200 in words is "thirteen trillion, one hundred thirty-two billion, two hundred thirty-two million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 994866091 1989732182 2984598273 3979464364 4974330455 5969196546 7958928728 9948660910 10943527001 11938393092 14922991365 15917857456 19897321820 21887054002 23876786184 24871652275 29845982730 32830581003 39794643640 43774108004 47753572368 49743304550 54717635005 59691965460 65661162006 74614956825 79589287280 87548216008 99486609100 109435270010 119383930920 131322324012 149229913650 164152905015 175096432016 198973218200 218870540020 238767861840 262644648024 273588175025 298459827300 328305810030 397946436400 437741080040 525289296048 547176350050 596919654600 656611620060 820764525075 875482160080 1094352700100 1193839309200 1313223240120 1641529050150 2188705400200 2626446480240 3283058100300 4377410800400 6566116200600 13132232401200