Search a number
-
+
13111232310 = 232511371732069
BaseRepresentation
bin11000011010111110…
…11000011100110110
31020211202002121111200
430031133120130312
5203322433413220
610005003113330
7642623431041
oct141537303466
936752077450
1013111232310
115618a48990
12265ab12846
13130c448c37
148c5441c58
1551b0c4890
hex30d7d8736

13111232310 has 192 divisors, whose sum is σ = 38432646720. Its totient is φ = 3073213440.

The previous prime is 13111232293. The next prime is 13111232327. The reversal of 13111232310 is 1323211131.

13111232310 is a `hidden beast` number, since 1 + 311 + 12 + 32 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (13111232293) and next prime (13111232327).

It is a super-2 number, since 2×131112323102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6335956 + ... + 6338024.

It is an arithmetic number, because the mean of its divisors is an integer number (200170035).

Almost surely, 213111232310 is an apocalyptic number.

13111232310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111232310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19216323360).

13111232310 is an abundant number, since it is smaller than the sum of its proper divisors (25321414410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111232310 is a wasteful number, since it uses less digits than its factorization.

13111232310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13111232310 its reverse (1323211131), we get a palindrome (14434443441).

The spelling of 13111232310 in words is "thirteen billion, one hundred eleven million, two hundred thirty-two thousand, three hundred ten".