Search a number
-
+
113411340042 = 237112132132049
BaseRepresentation
bin110100110011111010…
…1111011011100001010
3101211201211110000011120
41221213311323130022
53324231300340132
6124033410340110
711123303325150
oct1514765733412
9354654400146
10113411340042
1144108821400
1219b9128a636
13a905193500
1456bc2a33d0
152e3b84002c
hex1a67d7b70a

113411340042 has 144 divisors (see below), whose sum is σ = 308540635200. Its totient is φ = 27191324160.

The previous prime is 113411340037. The next prime is 113411340047. The reversal of 113411340042 is 240043114311.

It is an interprime number because it is at equal distance from previous prime (113411340037) and next prime (113411340047).

It is a junction number, because it is equal to n+sod(n) for n = 113411339994 and 113411340021.

It is not an unprimeable number, because it can be changed into a prime (113411340047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792834 + ... + 924882.

It is an arithmetic number, because the mean of its divisors is an integer number (2142643300).

Almost surely, 2113411340042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113411340042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154270317600).

113411340042 is an abundant number, since it is smaller than the sum of its proper divisors (195129295158).

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

113411340042 is a wasteful number, since it uses less digits than its factorization.

113411340042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132109 (or 132085 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113411340042 its reverse (240043114311), we get a palindrome (353454454353).

The spelling of 113411340042 in words is "one hundred thirteen billion, four hundred eleven million, three hundred forty thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 169 182 231 242 273 286 338 363 429 462 507 546 726 847 858 1001 1014 1183 1573 1694 1859 2002 2366 2541 3003 3146 3549 3718 4719 5082 5577 6006 7098 9438 11011 11154 13013 20449 22022 26026 33033 39039 40898 61347 66066 78078 122694 132049 143143 264098 286286 396147 429429 792294 858858 924343 1452539 1716637 1848686 2773029 2905078 3433274 4357617 5149911 5546058 8715234 10167773 10299822 12016459 15977929 18883007 20335546 22316281 24032918 30503319 31955858 36049377 37766014 44632562 47933787 56649021 61006638 66948843 72098754 95867574 111845503 113298042 132181049 133897686 156213967 207713077 223691006 245479091 264362098 312427934 335536509 396543147 415426154 468641901 490958182 623139231 671073018 736437273 793086294 937283802 1246278462 1453991539 1472874546 1718353637 2700270001 2907983078 3436707274 4361974617 5155060911 5400540002 8100810003 8723949234 10310121822 16201620006 18901890007 37803780014 56705670021 113411340042