Search a number
-
+
1031131224405 = 325107214149787
BaseRepresentation
bin11110000000101000011…
…01011101100101010101
310122120112022022111000100
433000110031131211111
5113343224043140110
62105410052404313
7134332251536142
oct17002415354525
93576468274010
101031131224405
11368333770627
12147a0b916699
1376309b24999
1437c9abdb3c9
151bc4e842bc0
hexf01435d955

1031131224405 has 24 divisors (see below), whose sum is σ = 1803997814112. Its totient is φ = 544797055584.

The previous prime is 1031131224401. The next prime is 1031131224439. The reversal of 1031131224405 is 5044221311301.

1031131224405 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 31 + 224 + 405 = 666.

It is not a de Polignac number, because 1031131224405 - 22 = 1031131224401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031131224401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107070079 + ... + 107079708.

It is an arithmetic number, because the mean of its divisors is an integer number (75166575588).

Almost surely, 21031131224405 is an apocalyptic number.

1031131224405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1031131224405 is a deficient number, since it is larger than the sum of its proper divisors (772866589707).

1031131224405 is a wasteful number, since it uses less digits than its factorization.

1031131224405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214149905 (or 214149902 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1031131224405 its reverse (5044221311301), we get a palindrome (6075352535706).

The spelling of 1031131224405 in words is "one trillion, thirty-one billion, one hundred thirty-one million, two hundred twenty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 45 107 321 535 963 1605 4815 214149787 642449361 1070748935 1927348083 3212246805 9636740415 22914027209 68742081627 114570136045 206226244881 343710408135 1031131224405