Search a number
-
+
112223404001 = 3725315110243
BaseRepresentation
bin110100010000100001…
…0010011111111100001
3101201200001010121021102
41220201002103333201
53314313142412001
6123315453004145
711052000123602
oct1504102237741
9351601117242
10112223404001
1143659205485
12198bb483655
13a776034187
1456085d3da9
152dbc3d8e6b
hex1a21093fe1

112223404001 has 24 divisors (see below), whose sum is σ = 118304432064. Its totient is φ = 106410283200.

The previous prime is 112223403961. The next prime is 112223404003. The reversal of 112223404001 is 100404322211.

It is a de Polignac number, because none of the positive numbers 2k-112223404001 is a prime.

It is a super-4 number, since 4×1122234040014 (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112223404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10950986 + ... + 10961228.

It is an arithmetic number, because the mean of its divisors is an integer number (4929351336).

Almost surely, 2112223404001 is an apocalyptic number.

It is an amenable number.

112223404001 is a deficient number, since it is larger than the sum of its proper divisors (6081028063).

112223404001 is a wasteful number, since it uses less digits than its factorization.

112223404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112223404001 its reverse (100404322211), we get a palindrome (212627726212).

The spelling of 112223404001 in words is "one hundred twelve billion, two hundred twenty-three million, four hundred four thousand, one".

Divisors: 1 37 53 151 1369 1961 5587 8003 10243 72557 206719 296111 378991 542879 1546693 10956107 14022667 20086523 57227641 81974729 743201351 2117422717 3033064973 112223404001