Search a number
-
+
13002123210312 = 233541755133763
BaseRepresentation
bin1011110100110100101011…
…1011110110111001001000
31201000222202022200210021110
42331031022323312321020
53201011322020212222
643353032024210320
72511241506525045
oct275151273667110
951028668623243
1013002123210312
114163195651065
12155ba949099a0
13734130811992
1432d43ddd41cc
15178335c8630c
hexbd34aef6e48

13002123210312 has 16 divisors (see below), whose sum is σ = 32505308025840. Its totient is φ = 4334041070096.

The previous prime is 13002123210233. The next prime is 13002123210317. The reversal of 13002123210312 is 21301232120031.

It is a super-2 number, since 2×130021232103122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13002123210317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270877566858 + ... + 270877566905.

It is an arithmetic number, because the mean of its divisors is an integer number (2031581751615).

Almost surely, 213002123210312 is an apocalyptic number.

13002123210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13002123210312 is an abundant number, since it is smaller than the sum of its proper divisors (19503184815528).

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

13002123210312 is a wasteful number, since it uses less digits than its factorization.

13002123210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541755133772 (or 541755133768 counting only the distinct ones).

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

Adding to 13002123210312 its reverse (21301232120031), we get a palindrome (34303355330343).

The spelling of 13002123210312 in words is "thirteen trillion, two billion, one hundred twenty-three million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 541755133763 1083510267526 1625265401289 2167020535052 3250530802578 4334041070104 6501061605156 13002123210312