Search a number
-
+
1131312331200 = 26352235690069
BaseRepresentation
bin10000011101100111011…
…110000011100111000000
311000011010002202000002010
4100131213132003213000
5122013411424044300
62223415005252520
7144506655102612
oct20354736034700
94004102660063
101131312331200
113a6872354967
1216330a264140
13828b4004cbc
143ca81d22db2
151e664903a50
hex107677839c0

1131312331200 has 84 divisors (see below), whose sum is σ = 3711647222360. Its totient is φ = 301683287040.

The previous prime is 1131312331169. The next prime is 1131312331241. The reversal of 1131312331200 is 21332131311.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 117840235 + ... + 117849834.

Almost surely, 21131312331200 is an apocalyptic number.

1131312331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131312331200 is an abundant number, since it is smaller than the sum of its proper divisors (2580334891160).

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

1131312331200 is a wasteful number, since it uses less digits than its factorization.

1131312331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235690094 (or 235690079 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1131312331200 its reverse (21332131311), we get a palindrome (1152644462511).

The spelling of 1131312331200 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 235690069 471380138 707070207 942760276 1178450345 1414140414 1885520552 2356900690 2828280828 3535351035 3771041104 4713801380 5656561656 5892251725 7070702070 7542082208 9427602760 11313123312 11784503450 14141404140 15084164416 17676755175 18855205520 22626246624 23569006900 28282808280 35353510350 37710411040 45252493248 47138013800 56565616560 70707020700 75420822080 94276027600 113131233120 141414041400 188552055200 226262466240 282828082800 377104110400 565656165600 1131312331200