Search a number
-
+
13142302402333 = 136790716635889
BaseRepresentation
bin1011111100111110111001…
…0001000010011100011101
31201112101120122120120021011
42333033232101002130131
53210310413403333313
643541253530535221
72524333335146056
oct277175621023435
951471518516234
1013142302402333
11420768a0a5885
121583096597511
13744410553b50
1433613b34972d
1517bcdc5a193d
hexbf3ee44271d

13142302402333 has 16 divisors (see below), whose sum is σ = 14380329490240. Its totient is φ = 11937114706176.

The previous prime is 13142302402301. The next prime is 13142302402363. The reversal of 13142302402333 is 33320420324131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13142302402333 - 25 = 13142302402301 is a prime.

It is a super-2 number, since 2×131423024023332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13142302402295 and 13142302402304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142302402363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7527948 + ... + 9107941.

It is an arithmetic number, because the mean of its divisors is an integer number (898770593140).

Almost surely, 213142302402333 is an apocalyptic number.

13142302402333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13142302402333 is a deficient number, since it is larger than the sum of its proper divisors (1238027087907).

13142302402333 is a wasteful number, since it uses less digits than its factorization.

13142302402333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16636876.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 13142302402333 its reverse (33320420324131), we get a palindrome (46462722726464).

The spelling of 13142302402333 in words is "thirteen trillion, one hundred forty-two billion, three hundred two million, four hundred two thousand, three hundred thirty-three".

Divisors: 1 13 67 871 907 11791 60769 789997 16635889 216266557 1114604563 14489859319 15088751323 196153767199 1010946338641 13142302402333