Search a number
-
+
13101132111123 = 37623863433863
BaseRepresentation
bin1011111010100101100001…
…0100110101110100010011
31201101110022102102002000210
42332221120110311310103
53204122104310023443
643510324344415203
72521345160353410
oct276513024656423
951343272362023
1013101132111123
1141a1182592721
121577106777503
1374057bbac6a4
14334153583107
1517abcce9bc33
hexbea58535d13

13101132111123 has 8 divisors (see below), whose sum is σ = 19963629883648. Its totient is φ = 7486361206344.

The previous prime is 13101132111121. The next prime is 13101132111157. The reversal of 13101132111123 is 32111123110131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13101132111123 - 21 = 13101132111121 is a prime.

It is a super-2 number, since 2×131011321111232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 623863433863 = 13101132111123 / (1 + 3 + 1 + 0 + 1 + 1 + 3 + 2 + 1 + 1 + 1 + 1 + 2 + 3).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101132111123.

It is not an unprimeable number, because it can be changed into a prime (13101132111121) 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 7 ways as a sum of consecutive naturals, for example, 311931716911 + ... + 311931716952.

It is an arithmetic number, because the mean of its divisors is an integer number (2495453735456).

Almost surely, 213101132111123 is an apocalyptic number.

13101132111123 is a deficient number, since it is larger than the sum of its proper divisors (6862497772525).

13101132111123 is an equidigital number, since it uses as much as digits as its factorization.

13101132111123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623863433873.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 13101132111123 its reverse (32111123110131), we get a palindrome (45212255221254).

The spelling of 13101132111123 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, one hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 7 21 623863433863 1871590301589 4367044037041 13101132111123