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31405001225 = 521396630773
BaseRepresentation
bin11101001111111000…
…100100101000001001
310000001200001100201112
4131033320210220021
51003304140014400
622232142100105
72161150051223
oct351770445011
9100050040645
1031405001225
1112356339274
12610557a635
132c664a5080
14173cc9d413
15c3c15a835
hex74fe24a09

31405001225 has 12 divisors (see below), whose sum is σ = 41937755916. Its totient is φ = 23191385280.

The previous prime is 31405001209. The next prime is 31405001293. The reversal of 31405001225 is 52210050413.

It can be written as a sum of positive squares in 6 ways, for example, as 11599505401 + 19805495824 = 107701^2 + 140732^2 .

It is not a de Polignac number, because 31405001225 - 24 = 31405001209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31405001225.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48315062 + ... + 48315711.

It is an arithmetic number, because the mean of its divisors is an integer number (3494812993).

Almost surely, 231405001225 is an apocalyptic number.

It is an amenable number.

31405001225 is a deficient number, since it is larger than the sum of its proper divisors (10532754691).

31405001225 is a wasteful number, since it uses less digits than its factorization.

31405001225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96630796 (or 96630791 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 31405001225 its reverse (52210050413), we get a palindrome (83615051638).

The spelling of 31405001225 in words is "thirty-one billion, four hundred five million, one thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 96630773 483153865 1256200049 2415769325 6281000245 31405001225