Search a number
-
+
13123020141 = 337117979901
BaseRepresentation
bin11000011100011000…
…10110010101101101
31020212120021111101000
430032030112111231
5203333443121031
610010103510513
7643125554640
oct141614262555
936776244330
1013123020141
11562466a2a0
122662a58439
131311a1549a
148c6c2da57
1551c1523e6
hex30e31656d

13123020141 has 64 divisors (see below), whose sum is σ = 24545894400. Its totient is φ = 6730776000.

The previous prime is 13123020133. The next prime is 13123020143. The reversal of 13123020141 is 14102032131.

13123020141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13123020141 - 23 = 13123020133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123020143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124291 + ... + 204191.

It is an arithmetic number, because the mean of its divisors is an integer number (383529600).

Almost surely, 213123020141 is an apocalyptic number.

13123020141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13123020141 is a deficient number, since it is larger than the sum of its proper divisors (11422874259).

13123020141 is a wasteful number, since it uses less digits than its factorization.

13123020141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80007 (or 80001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13123020141 its reverse (14102032131), we get a palindrome (27225052272).

The spelling of 13123020141 in words is "thirteen billion, one hundred twenty-three million, twenty thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 79 99 189 231 237 297 553 693 711 869 1659 2079 2133 2607 4977 6083 7821 14931 18249 23463 54747 79901 164241 239703 559307 719109 878911 1677921 2157327 2636733 5033763 6152377 6312179 7910199 15101289 18457131 18936537 23730597 44185253 55371393 56809611 69433969 132555759 166114179 170428833 208301907 397667277 486037783 624905721 1193001831 1458113349 1874717163 4374340047 13123020141