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31122031120 = 2451601242989
BaseRepresentation
bin11100111111000001…
…001000001000010000
32222022221120222201021
4130333001020020100
51002214214443440
622144113045224
72151142620415
oct347701101020
988287528637
1031122031120
1112220636684
126046856814
132c1c98a83b
14171348010c
15c223b284a
hex73f048210

31122031120 has 40 divisors (see below), whose sum is σ = 72404216280. Its totient is φ = 12440985600.

The previous prime is 31122031093. The next prime is 31122031133. The reversal of 31122031120 is 2113022113.

It can be written as a sum of positive squares in 4 ways, for example, as 2994716176 + 28127314944 = 54724^2 + 167712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31122031094 and 31122031103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6586 + ... + 249574.

It is an arithmetic number, because the mean of its divisors is an integer number (1810105407).

Almost surely, 231122031120 is an apocalyptic number.

It is an amenable number.

31122031120 is an abundant number, since it is smaller than the sum of its proper divisors (41282185160).

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

31122031120 is a wasteful number, since it uses less digits than its factorization.

31122031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244603 (or 244597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31122031120 its reverse (2113022113), we get a palindrome (33235053233).

The spelling of 31122031120 in words is "thirty-one billion, one hundred twenty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1601 3202 6404 8005 12808 16010 25616 32020 64040 128080 242989 485978 971956 1214945 1943912 2429890 3887824 4859780 9719560 19439120 389025389 778050778 1556101556 1945126945 3112203112 3890253890 6224406224 7780507780 15561015560 31122031120