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10113440244141 = 3131973186963937
BaseRepresentation
bin1001001100101011100000…
…0000110110000110101101
31022210211120001001201222010
42103022320000312012231
52311144311200303031
633302014511111433
72062446322455123
oct223127000660655
938724501051863
1010113440244141
11324a0a43a7503
121174076812579
135849022cbc40
1426d6c9197913
15128119092246
hex932b80361ad

10113440244141 has 32 divisors (see below), whose sum is σ = 15495571181440. Its totient is φ = 5815326265344.

The previous prime is 10113440244137. The next prime is 10113440244151. The reversal of 10113440244141 is 14144204431101.

It is not a de Polignac number, because 10113440244141 - 22 = 10113440244137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10113440244099 and 10113440244108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113440244151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93427876 + ... + 93536061.

It is an arithmetic number, because the mean of its divisors is an integer number (484236599420).

Almost surely, 210113440244141 is an apocalyptic number.

It is an amenable number.

10113440244141 is a deficient number, since it is larger than the sum of its proper divisors (5382130937299).

10113440244141 is a wasteful number, since it uses less digits than its factorization.

10113440244141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186964045.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10113440244141 its reverse (14144204431101), we get a palindrome (24257644675242).

The spelling of 10113440244141 in words is "ten trillion, one hundred thirteen billion, four hundred forty million, two hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 13 19 39 57 73 219 247 741 949 1387 2847 4161 18031 54093 186963937 560891811 2430531181 3552314803 7291593543 10656944409 13648367401 40945102203 46180092439 138540277317 177428776213 259318980619 532286328639 777956941857 3371146748047 10113440244141