Search a number
-
+
112704407211 = 31198311872927
BaseRepresentation
bin110100011110110110…
…1001100011010101011
3101202220120020002122010
41220331231030122223
53321304312012321
6123435314331003
711066630440404
oct1507555143253
9352816202563
10112704407211
11438857772a0
1219a14589a63
13a821897666
1456524429ab
152de974d676
hex1a3db4c6ab

112704407211 has 32 divisors (see below), whose sum is σ = 164294811648. Its totient is φ = 68155435040.

The previous prime is 112704407141. The next prime is 112704407243.

112704407211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112704407211 - 27 = 112704407083 is a prime.

It is a super-5 number, since 5×1127044072115 (a number of 56 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (112704407251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38503630 + ... + 38506556.

It is an arithmetic number, because the mean of its divisors is an integer number (5134212864).

Almost surely, 2112704407211 is an apocalyptic number.

112704407211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112704407211 is a deficient number, since it is larger than the sum of its proper divisors (51590404437).

112704407211 is a wasteful number, since it uses less digits than its factorization.

112704407211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111.

The product of its (nonzero) digits is 3136, while the sum is 30.

It can be divided in two parts, 112704 and 407211, that added together give a palindrome (519915).

The spelling of 112704407211 in words is "one hundred twelve billion, seven hundred four million, four hundred seven thousand, two hundred eleven".

Divisors: 1 3 11 33 983 1187 2927 2949 3561 8781 10813 13057 32197 32439 39171 96591 1166821 2877241 3474349 3500463 8631723 10423047 12835031 31649651 38217839 38505093 94948953 114653517 3415285067 10245855201 37568135737 112704407211