Search a number
-
+
1331505123 = 313194633881
BaseRepresentation
bin100111101011101…
…0010011111100011
310102210110110122120
41033113102133203
510211331130443
6340042435323
744665415064
oct11727223743
93383413576
101331505123
11623666563
12311b02b43
13182b19070
14c8ba256b
157bd65083
hex4f5d27e3

1331505123 has 32 divisors (see below), whose sum is σ = 2017397760. Its totient is φ = 774385920.

The previous prime is 1331505013. The next prime is 1331505151. The reversal of 1331505123 is 3215051331.

It is not a de Polignac number, because 1331505123 - 210 = 1331504099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331505093 and 1331505102.

It is not an unprimeable number, because it can be changed into a prime (1331505163) 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 31 ways as a sum of consecutive naturals, for example, 341143 + ... + 345023.

It is an arithmetic number, because the mean of its divisors is an integer number (63043680).

Almost surely, 21331505123 is an apocalyptic number.

1331505123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1331505123 is a deficient number, since it is larger than the sum of its proper divisors (685892637).

1331505123 is a wasteful number, since it uses less digits than its factorization.

1331505123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1331505123 is about 36489.7947788145. The cubic root of 1331505123 is about 1100.1391347422.

Adding to 1331505123 its reverse (3215051331), we get a palindrome (4546556454).

The spelling of 1331505123 in words is "one billion, three hundred thirty-one million, five hundred five thousand, one hundred twenty-three".

Divisors: 1 3 13 19 39 57 247 463 741 1389 3881 6019 8797 11643 18057 26391 50453 73739 114361 151359 221217 343083 958607 1796903 2875821 5390709 23359739 34141157 70079217 102423471 443835041 1331505123