Search a number
-
+
12113101311320 = 2353495631541209
BaseRepresentation
bin1011000001000100110100…
…0110011100110101011000
31120220000000212011000111202
42300101031012130311120
53041430112413430240
641432403143413332
72360066641211642
oct260211506346530
946800025130452
1012113101311320
1139501569a2019
121437725154248
1369b350583639
142dc3c4a1b892
15160152420315
hexb044d19cd58

12113101311320 has 64 divisors (see below), whose sum is σ = 27381136860000. Its totient is φ = 4822772732928.

The previous prime is 12113101311293. The next prime is 12113101311439. The reversal of 12113101311320 is 2311310131121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12113101311292 and 12113101311301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7088876 + ... + 8630084.

Almost surely, 212113101311320 is an apocalyptic number.

12113101311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113101311320 is an abundant number, since it is smaller than the sum of its proper divisors (15268035548680).

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

12113101311320 is a wasteful number, since it uses less digits than its factorization.

12113101311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542132 (or 1542128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12113101311320 its reverse (2311310131121), we get a palindrome (14424411442441).

The spelling of 12113101311320 in words is "twelve trillion, one hundred thirteen billion, one hundred one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 349 563 698 1126 1396 1745 2252 2792 2815 3490 4504 5630 6980 11260 13960 22520 196487 392974 785948 982435 1541209 1571896 1964870 3082418 3929740 6164836 7706045 7859480 12329672 15412090 30824180 61648360 537881941 867700667 1075763882 1735401334 2151527764 2689409705 3470802668 4303055528 4338503335 5378819410 6941605336 8677006670 10757638820 17354013340 21515277640 34708026680 302827532783 605655065566 1211310131132 1514137663915 2422620262264 3028275327830 6056550655660 12113101311320