Search a number
-
+
123013311435232 = 2541152276157493
BaseRepresentation
bin11011111110000101000100…
…101110110001000111100000
3121010112221212011212021200021
4123332011010232301013200
5112110422230211411412
61113343311330403224
734624263350603311
oct3376050456610740
9533487764767607
10123013311435232
113621771a39a229
1211968979130514
13538414aa0126a
142253c39c00608
15e34cd2818607
hex6fe144bb11e0

123013311435232 has 48 divisors (see below), whose sum is σ = 248105679100272. Its totient is φ = 60002542842880.

The previous prime is 123013311435227. The next prime is 123013311435247. The reversal of 123013311435232 is 232534113310321.

It is a super-2 number, since 2×1230133114352322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16899078 + ... + 23056570.

It is an arithmetic number, because the mean of its divisors is an integer number (5168868314589).

Almost surely, 2123013311435232 is an apocalyptic number.

It is an amenable number.

123013311435232 is an abundant number, since it is smaller than the sum of its proper divisors (125092367665040).

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

123013311435232 is a wasteful number, since it uses less digits than its factorization.

123013311435232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172771 (or 6172763 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 123013311435232 its reverse (232534113310321), we get a palindrome (355547424745553).

The spelling of 123013311435232 in words is "one hundred twenty-three trillion, thirteen billion, three hundred eleven million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 15227 30454 60908 121816 243632 487264 624307 1248614 2497228 4994456 6157493 9988912 12314986 19977824 24629972 49259944 98519888 197039776 252457213 504914426 1009828852 2019657704 4039315408 8078630816 93760145911 187520291822 375040583644 750081167288 1500162334576 3000324669152 3844165982351 7688331964702 15376663929404 30753327858808 61506655717616 123013311435232