Search a number
-
+
13113203132112 = 2431049968926879
BaseRepresentation
bin1011111011010010011111…
…0100001000011011010000
31201102121110200011110212020
42332310213310020123100
53204321320000211422
643520042232331440
72522253253345416
oct276644764103320
951377420143766
1013113203132112
1141a6307342426
121579515243b80
1374175397c665
1433497a7ab2b6
1517b187a9a95c
hexbed27d086d0

13113203132112 has 80 divisors (see below), whose sum is σ = 33912829440000. Its totient is φ = 4366287665152.

The previous prime is 13113203132101. The next prime is 13113203132129. The reversal of 13113203132112 is 21123130231131.

13113203132112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487847089 + ... + 487873967.

It is an arithmetic number, because the mean of its divisors is an integer number (423910368000).

Almost surely, 213113203132112 is an apocalyptic number.

13113203132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13113203132112 is an abundant number, since it is smaller than the sum of its proper divisors (20799626307888).

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

13113203132112 is a wasteful number, since it uses less digits than its factorization.

13113203132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37628 (or 37622 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13113203132112 its reverse (21123130231131), we get a palindrome (34236333363243).

The spelling of 13113203132112 in words is "thirteen trillion, one hundred thirteen billion, two hundred three million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1049 2098 3147 4196 6294 8392 9689 12588 16784 19378 25176 26879 29067 38756 50352 53758 58134 77512 80637 107516 116268 155024 161274 215032 232536 322548 430064 465072 645096 1290192 10163761 20327522 28196071 30491283 40655044 56392142 60982566 81310088 84588213 112784284 121965132 162620176 169176426 225568568 243930264 260430631 338352852 451137136 487860528 520861262 676705704 781291893 1041722524 1353411408 1562583786 2083445048 3125167572 4166890096 6250335144 12500670288 273191731919 546383463838 819575195757 1092766927676 1639150391514 2185533855352 3278300783028 4371067710704 6556601566056 13113203132112