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1100414231 = 72367102013
BaseRepresentation
bin100000110010110…
…1111110100010111
32211200121211112122
41001211233310113
54223201223411
6301105410155
736161236520
oct10145576427
92750554478
101100414231
11515178554
1226863995b
13146c973a7
14a6209847
15669189db
hex4196fd17

1100414231 has 16 divisors (see below), whose sum is σ = 1331894784. Its totient is φ = 888728544.

The previous prime is 1100414207. The next prime is 1100414281. The reversal of 1100414231 is 1324140011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100414231 - 26 = 1100414167 is a prime.

It is a super-2 number, since 2×11004142312 = 2421822959574642722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100414281) 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 15 ways as a sum of consecutive naturals, for example, 40220 + ... + 61793.

It is an arithmetic number, because the mean of its divisors is an integer number (83243424).

Almost surely, 21100414231 is an apocalyptic number.

1100414231 is a deficient number, since it is larger than the sum of its proper divisors (231480553).

1100414231 is a wasteful number, since it uses less digits than its factorization.

1100414231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102110.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1100414231 is about 33172.4920830498. The cubic root of 1100414231 is about 1032.4096756870.

Adding to 1100414231 its reverse (1324140011), we get a palindrome (2424554242).

The spelling of 1100414231 in words is "one billion, one hundred million, four hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 7 23 67 161 469 1541 10787 102013 714091 2346299 6834871 16424093 47844097 157202033 1100414231