Search a number
-
+
20131312220123 = 135967589766431
BaseRepresentation
bin1001001001111001011111…
…01101101011011111011011
32122021112102202120102212212
410210330233231223133123
510114312411412020443
6110452110330425335
74145303453333606
oct444745755533733
978245382512785
1020131312220123
116461706a20605
1223116bb89224b
13b304b3cb1780
144d8509b0933d
1524d9dd000618
hex124f2fb6b7db

20131312220123 has 32 divisors (see below), whose sum is σ = 22380526264320. Its totient is φ = 17991811918080.

The previous prime is 20131312220101. The next prime is 20131312220137. The reversal of 20131312220123 is 32102221313102.

It is a de Polignac number, because none of the positive numbers 2k-20131312220123 is a prime.

It is a super-2 number, since 2×201313122201232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20131312220923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303007718 + ... + 303074148.

It is an arithmetic number, because the mean of its divisors is an integer number (699391445760).

Almost surely, 220131312220123 is an apocalyptic number.

20131312220123 is a deficient number, since it is larger than the sum of its proper divisors (2249214044197).

20131312220123 is a wasteful number, since it uses less digits than its factorization.

20131312220123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72467.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20131312220123 its reverse (32102221313102), we get a palindrome (52233533533225).

The spelling of 20131312220123 in words is "twenty trillion, one hundred thirty-one billion, three hundred twelve million, two hundred twenty thousand, one hundred twenty-three".

Divisors: 1 13 59 67 767 871 3953 5897 51389 66431 76661 347923 395099 863603 3919429 4450877 4522999 5136287 23310841 50952577 57861401 262601743 303040933 391743607 3413822659 5092666891 23112872813 26246821669 300467346569 341208681697 1548562478471 20131312220123