Search a number
-
+
20042231013131 = 1923157129193653
BaseRepresentation
bin1001000111010011100100…
…00011110101111100001011
32121222000111112120020211012
410203221302003311330023
510111332442114410011
6110343135051154135
74136001111510065
oct443516203657413
977860445506735
1020042231013131
1164279539a8288
1222b839a74594b
13b24c88635ac2
144d4098c5a735
1524b527663a8b
hex123a720f5f0b

20042231013131 has 16 divisors (see below), whose sum is σ = 22028363562240. Its totient is φ = 18150277321440.

The previous prime is 20042231013083. The next prime is 20042231013157. The reversal of 20042231013131 is 13131013224002.

It is not a de Polignac number, because 20042231013131 - 210 = 20042231012107 is a prime.

It is a super-2 number, since 2×200422310131312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20042231013097 and 20042231013106.

It is not an unprimeable number, because it can be changed into a prime (20042231013031) 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, 13910300 + ... + 15283353.

It is an arithmetic number, because the mean of its divisors is an integer number (1376772722640).

Almost surely, 220042231013131 is an apocalyptic number.

20042231013131 is a deficient number, since it is larger than the sum of its proper divisors (1986132549109).

20042231013131 is a wasteful number, since it uses less digits than its factorization.

20042231013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29195266.

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

Adding to 20042231013131 its reverse (13131013224002), we get a palindrome (33173244237133).

The spelling of 20042231013131 in words is "twenty trillion, forty-two billion, two hundred thirty-one million, thirteen thousand, one hundred thirty-one".

Divisors: 1 19 23 437 1571 29849 36133 686527 29193653 554679407 671454019 12757626361 45863228863 871401348397 1054854263849 20042231013131