Search a number
-
+
332233301121312 = 25310333599646149
BaseRepresentation
bin100101110001010100001011…
…1111001010101100100100000
31121120100012012222201010022010
41023202220113321111210200
5322021302300041340222
63134333512125112520
7126660030626402523
oct11342502771254440
91546305188633263
10332233301121312
11969503961a6918
12313190583b8740
131134c6096751b6
145c0826b38abba
15286223d3d880c
hex12e2a17e55920

332233301121312 has 48 divisors (see below), whose sum is σ = 880579526299200. Its totient is φ = 109669245027072.

The previous prime is 332233301121311. The next prime is 332233301121317. The reversal of 332233301121312 is 213121103332233.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3322333011213122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332233301121312.

It is not an unprimeable number, because it can be changed into a prime (332233301121311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16799813187 + ... + 16799832962.

It is an arithmetic number, because the mean of its divisors is an integer number (18345406797900).

Almost surely, 2332233301121312 is an apocalyptic number.

332233301121312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332233301121312 is an abundant number, since it is smaller than the sum of its proper divisors (548346225177888).

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

332233301121312 is a wasteful number, since it uses less digits than its factorization.

332233301121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33599646265 (or 33599646257 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 332233301121312 its reverse (213121103332233), we get a palindrome (545354404453545).

The spelling of 332233301121312 in words is "three hundred thirty-two trillion, two hundred thirty-three billion, three hundred one million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 33599646149 67199292298 100798938447 134398584596 201597876894 268797169192 403195753788 537594338384 806391507576 1075188676768 1612783015152 3225566030304 3460763553347 6921527106694 10382290660041 13843054213388 20764581320082 27686108426776 41529162640164 55372216853552 83058325280328 110744433707104 166116650560656 332233301121312