Search a number
-
+
1012210131133 = 53229565314753
BaseRepresentation
bin11101011101011000110…
…11001110000010111101
310120202200122221100120001
432232230123032002331
5113041001243144013
62053000343554301
7133062340103665
oct16565433160275
93522618840501
101012210131133
1136030425a163
1214420b15b991
13745b2b23ac6
1436dc3d231a5
151b4e3692ddd
hexebac6ce0bd

1012210131133 has 16 divisors (see below), whose sum is σ = 1036065420720. Its totient is φ = 988533172224.

The previous prime is 1012210131131. The next prime is 1012210131137. The reversal of 1012210131133 is 3311310122101.

It can be written as a sum of positive squares in 8 ways, for example, as 250662438244 + 761547692889 = 500662^2 + 872667^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012210131133 - 21 = 1012210131131 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 1012210131133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012210131131) 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 15 ways as a sum of consecutive naturals, for example, 68603085 + ... + 68617837.

It is an arithmetic number, because the mean of its divisors is an integer number (64754088795).

Almost surely, 21012210131133 is an apocalyptic number.

It is an amenable number.

1012210131133 is a deficient number, since it is larger than the sum of its proper divisors (23855289587).

1012210131133 is a wasteful number, since it uses less digits than its factorization.

1012210131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20688.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1012210131133 its reverse (3311310122101), we get a palindrome (4323520253234).

The spelling of 1012210131133 in words is "one trillion, twelve billion, two hundred ten million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 53 229 5653 12137 14753 299609 781909 1294537 3378437 68610461 83398709 179057161 4420131577 19098304361 1012210131133