Search a number
-
+
1331412103200 = 25352554755043
BaseRepresentation
bin10011010111111110010…
…110000111000000100000
311201021121101202122000210
4103113332112013000200
5133303212444300300
62455350422014120
7165122430102234
oct23277626070040
94637541678023
101331412103200
11473715471263
12196053277340
1398722bb7c5a
14486253765c4
15249769d5050
hex135fe587020

1331412103200 has 72 divisors (see below), whose sum is σ = 4333746403728. Its totient is φ = 355043226880.

The previous prime is 1331412103159. The next prime is 1331412103207. The reversal of 1331412103200 is 23012141331.

It is not an unprimeable number, because it can be changed into a prime (1331412103207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 277375122 + ... + 277379921.

It is an arithmetic number, because the mean of its divisors is an integer number (60190922274).

Almost surely, 21331412103200 is an apocalyptic number.

1331412103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331412103200 is an abundant number, since it is smaller than the sum of its proper divisors (3002334300528).

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

1331412103200 is a wasteful number, since it uses less digits than its factorization.

1331412103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554755066 (or 554755053 counting only the distinct ones).

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

Adding to 1331412103200 its reverse (23012141331), we get a palindrome (1354424244531).

The spelling of 1331412103200 in words is "one trillion, three hundred thirty-one billion, four hundred twelve million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 554755043 1109510086 1664265129 2219020172 2773775215 3328530258 4438040344 5547550430 6657060516 8321325645 8876080688 11095100860 13314121032 13868876075 16642651290 17752161376 22190201720 26628242064 27737752150 33285302580 41606628225 44380403440 53256484128 55475504300 66570605160 83213256450 88760806880 110951008600 133141210320 166426512900 221902017200 266282420640 332853025800 443804034400 665706051600 1331412103200