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1132131231200 = 2552101311711193
BaseRepresentation
bin10000011110011000010…
…001111010010111100000
311000020020011122102200202
4100132120101322113200
5122022101043344300
62224032141204332
7144536160454304
oct20363021722740
94006204572622
101132131231200
113a7152624622
121634b85606a8
13829b4874708
143cb1c9abd04
151e6b1760ad5
hex1079847a5e0

1132131231200 has 144 divisors (see below), whose sum is σ = 2771227223856. Its totient is φ = 451640217600.

The previous prime is 1132131231197. The next prime is 1132131231247. The reversal of 1132131231200 is 21321312311.

It is a happy number.

It is a super-2 number, since 2×11321312312002 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 948977804 + ... + 948978996.

It is an arithmetic number, because the mean of its divisors is an integer number (19244633499).

Almost surely, 21132131231200 is an apocalyptic number.

1132131231200 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 1132131231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385613611928).

1132131231200 is an abundant number, since it is smaller than the sum of its proper divisors (1639095992656).

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

1132131231200 is a wasteful number, since it uses less digits than its factorization.

1132131231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1132131231200 its reverse (21321312311), we get a palindrome (1153452543511).

The spelling of 1132131231200 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1013 1171 1193 2026 2342 2386 4052 4684 4772 5065 5855 5965 8104 9368 9544 10130 11710 11930 16208 18736 19088 20260 23420 23860 25325 29275 29825 32416 37472 38176 40520 46840 47720 50650 58550 59650 81040 93680 95440 101300 117100 119300 162080 187360 190880 202600 234200 238600 405200 468400 477200 810400 936800 954400 1186223 1208509 1397003 2372446 2417018 2794006 4744892 4834036 5588012 5931115 6042545 6985015 9489784 9668072 11176024 11862230 12085090 13970030 18979568 19336144 22352048 23724460 24170180 27940060 29655575 30212725 34925075 37959136 38672288 44704096 47448920 48340360 55880120 59311150 60425450 69850150 94897840 96680720 111760240 118622300 120850900 139700300 189795680 193361440 223520480 237244600 241701800 279400600 474489200 483403600 558801200 948978400 966807200 1117602400 1415164039 2830328078 5660656156 7075820195 11321312312 14151640390 22642624624 28303280780 35379100975 45285249248 56606561560 70758201950 113213123120 141516403900 226426246240 283032807800 566065615600 1132131231200