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3111414011101 = 11234774104223
BaseRepresentation
bin101101010001101110101…
…110100001010011011101
3102000110002210101110101201
4231101232232201103131
5401434133441323401
610341210332235501
7440535511503634
oct55215656412335
912013083343351
103111414011101
11a9a5a8105300
1242301a30bb91
13197535c72a66
14aa843bd851b
1555e05a4cb01
hex2d46eba14dd

3111414011101 has 12 divisors (see below), whose sum is σ = 3429839903616. Its totient is φ = 2820406689320.

The previous prime is 3111414011089. The next prime is 3111414011129. The reversal of 3111414011101 is 1011104141113.

It is a happy number.

It is not a de Polignac number, because 3111414011101 - 27 = 3111414010973 is a prime.

It is a super-2 number, since 2×31114140111012 (a number of 26 digits) 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 (3111414011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37010125 + ... + 37094098.

It is an arithmetic number, because the mean of its divisors is an integer number (285819991968).

Almost surely, 23111414011101 is an apocalyptic number.

It is an amenable number.

3111414011101 is a deficient number, since it is larger than the sum of its proper divisors (318425892515).

3111414011101 is a wasteful number, since it uses less digits than its factorization.

3111414011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74104592 (or 74104581 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 3111414011101 its reverse (1011104141113), we get a palindrome (4122518152214).

It can be divided in two parts, 31114140 and 11101, that added together give a square (31125241 = 55792).

The spelling of 3111414011101 in words is "three trillion, one hundred eleven billion, four hundred fourteen million, eleven thousand, one hundred one".

Divisors: 1 11 121 347 3817 41987 74104223 815146453 8966610983 25714165381 282855819191 3111414011101