Search a number
-
+
12335244133320 = 2332534264567037
BaseRepresentation
bin1011001110000000010111…
…0110000100001111001000
31121200020102101001121102200
42303200011312010033020
53104100034444231240
642122422151200200
72412122564100213
oct263400566041710
947606371047380
1012335244133320
113a26390809109
1214727a0376060
136b62931ac444
1430905981a77a
15165d047d5930
hexb3805d843c8

12335244133320 has 48 divisors (see below), whose sum is σ = 40089543434460. Its totient is φ = 3289398435456.

The previous prime is 12335244133313. The next prime is 12335244133393. The reversal of 12335244133320 is 2333144253321.

12335244133320 is a `hidden beast` number, since 1 + 2 + 33 + 524 + 41 + 33 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11989972723716 + 345271409604 = 3462654^2 + 587598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17132283159 + ... + 17132283878.

Almost surely, 212335244133320 is an apocalyptic number.

12335244133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12335244133320 is an abundant number, since it is smaller than the sum of its proper divisors (27754299301140).

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

12335244133320 is a wasteful number, since it uses less digits than its factorization.

12335244133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34264567054 (or 34264567047 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 12335244133320 its reverse (2333144253321), we get a palindrome (14668388386641).

The spelling of 12335244133320 in words is "twelve trillion, three hundred thirty-five billion, two hundred forty-four million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 34264567037 68529134074 102793701111 137058268148 171322835185 205587402222 274116536296 308381103333 342645670370 411174804444 513968505555 616762206666 685291340740 822349608888 1027937011110 1233524413332 1370582681480 1541905516665 2055874022220 2467048826664 3083811033330 4111748044440 6167622066660 12335244133320