Search a number
-
+
21723535146117 = 374125230586697
BaseRepresentation
bin1001111000001111001111…
…00110000111110010000101
32211220202020111220121221010
410330013213212013302011
510321404244444133432
6114111353153512433
74401321311031540
oct474074746076205
984822214817833
1021723535146117
116a15999293202
12252a1bbb72719
13c1769c917b6c
145515d359b857
1527a12b9713cc
hex13c1e7987c85

21723535146117 has 16 divisors (see below), whose sum is σ = 33909908522112. Its totient is φ = 12110681614080.

The previous prime is 21723535146077. The next prime is 21723535146127. The reversal of 21723535146117 is 71164153532712.

It is a happy number.

It is not a de Polignac number, because 21723535146117 - 27 = 21723535145989 is a prime.

It is a super-3 number, since 3×217235351461173 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21723535146127) 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, 12615292488 + ... + 12615294209.

It is an arithmetic number, because the mean of its divisors is an integer number (2119369282632).

Almost surely, 221723535146117 is an apocalyptic number.

It is an amenable number.

21723535146117 is a deficient number, since it is larger than the sum of its proper divisors (12186373375995).

21723535146117 is a wasteful number, since it uses less digits than its factorization.

21723535146117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25230586748.

The product of its digits is 1058400, while the sum is 48.

Adding to 21723535146117 its reverse (71164153532712), we get a palindrome (92887688678829).

The spelling of 21723535146117 in words is "twenty-one trillion, seven hundred twenty-three billion, five hundred thirty-five million, one hundred forty-six thousand, one hundred seventeen".

Divisors: 1 3 7 21 41 123 287 861 25230586697 75691760091 176614106879 529842320637 1034454054577 3103362163731 7241178382039 21723535146117