Search a number
-
+
13344231011132 = 2274173831918451
BaseRepresentation
bin1100001000101111001000…
…1001100011001100111100
31202020200210101212201200002
43002023302021203030330
53222112441114324012
644214131033453432
72545042325045210
oct302136211431474
952220711781602
1013344231011132
11428529058234a
1215b624bb71278
1375a4812b2558
14341c15620940
151821a9ed57c2
hexc22f226333c

13344231011132 has 96 divisors (see below), whose sum is σ = 28047829630464. Its totient is φ = 5436733824000.

The previous prime is 13344231011119. The next prime is 13344231011233. The reversal of 13344231011132 is 23111013244331.

It is a junction number, because it is equal to n+sod(n) for n = 13344231011095 and 13344231011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5996507 + ... + 7914957.

It is an arithmetic number, because the mean of its divisors is an integer number (292164891984).

Almost surely, 213344231011132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13344231011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023914815232).

13344231011132 is an abundant number, since it is smaller than the sum of its proper divisors (14703598619332).

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

13344231011132 is a wasteful number, since it uses less digits than its factorization.

13344231011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918659 (or 1918657 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 13344231011132 its reverse (23111013244331), we get a palindrome (36455244255463).

The spelling of 13344231011132 in words is "thirteen trillion, three hundred forty-four billion, two hundred thirty-one million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 73 82 83 146 164 166 287 292 332 511 574 581 1022 1148 1162 2044 2324 2993 3403 5986 6059 6806 11972 12118 13612 20951 23821 24236 41902 42413 47642 83804 84826 95284 169652 248419 496838 993676 1738933 1918451 3477866 3836902 6955732 7673804 13429157 26858314 53716628 78656491 140046923 157312982 159231433 280093846 314625964 318462866 550595437 560187692 636925732 980328461 1101190874 1114620031 1960656922 2202381748 2229240062 3921313844 4458480124 5741923843 6528488753 11483847686 11623894609 13056977506 22967695372 23247789218 26113955012 40193466901 45699421271 46495578436 80386933802 81367262263 91398842542 160773867604 162734524526 182797685084 325469049052 476579678969 953159357938 1906318715876 3336057752783 6672115505566 13344231011132