Search a number
-
+
13437022073431 = 1117292477783897
BaseRepresentation
bin1100001110001000110011…
…1011010111001001010111
31202120120022011122002111011
43003202030323113021113
53230123010122322211
644324514400153051
72554535635053505
oct303421473271127
952516264562434
1013437022073431
1143106777268a0
121610227608787
1376614b422888
143464d9097675
151847db3d3921
hexc388ced7257

13437022073431 has 16 divisors (see below), whose sum is σ = 16056039659040. Its totient is φ = 11100471854080.

The previous prime is 13437022073381. The next prime is 13437022073473.

It is a happy number.

13437022073431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13437022073431 - 229 = 13436485202519 is a prime.

It is a super-2 number, since 2×134370220734312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13437022079431) 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, 1238886526 + ... + 1238897371.

It is an arithmetic number, because the mean of its divisors is an integer number (1003502478690).

Almost surely, 213437022073431 is an apocalyptic number.

13437022073431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13437022073431 is a deficient number, since it is larger than the sum of its proper divisors (2619017585609).

13437022073431 is a wasteful number, since it uses less digits than its factorization.

13437022073431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477783954.

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 13437022073431 in words is "thirteen trillion, four hundred thirty-seven billion, twenty-two million, seventy-three thousand, four hundred thirty-one".

Divisors: 1 11 17 29 187 319 493 5423 2477783897 27255622867 42122326249 71855733013 463345588739 790413063143 1221547461221 13437022073431