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2144431100031 = 311497891305163
BaseRepresentation
bin11111001101001010000…
…011011101000001111111
321121000011002102221020020
4133031022003131001333
5240113243330200111
64321045452423223
7310634000412243
oct37151203350177
97530132387206
102144431100031
117574a24a5a70
122a7731777b13
131272b0157c3c
1475b107b0423
153abacc2c906
hex1f34a0dd07f

2144431100031 has 16 divisors (see below), whose sum is σ = 3119237546880. Its totient is φ = 1299628113120.

The previous prime is 2144431099981. The next prime is 2144431100047. The reversal of 2144431100031 is 1300011344412.

It is not a de Polignac number, because 2144431100031 - 27 = 2144431099903 is a prime.

It is a super-2 number, since 2×21444311000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144431099974 and 2144431100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144431100081) 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 15 ways as a sum of consecutive naturals, for example, 990456 + ... + 2295618.

It is an arithmetic number, because the mean of its divisors is an integer number (194952346680).

Almost surely, 22144431100031 is an apocalyptic number.

2144431100031 is a deficient number, since it is larger than the sum of its proper divisors (974806446849).

2144431100031 is a wasteful number, since it uses less digits than its factorization.

2144431100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354966.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2144431100031 its reverse (1300011344412), we get a palindrome (3444442444443).

The spelling of 2144431100031 in words is "two trillion, one hundred forty-four billion, four hundred thirty-one million, one hundred thousand, thirty-one".

Divisors: 1 3 11 33 49789 149367 547679 1305163 1643037 3915489 14356793 43070379 64982760607 194948281821 714810366677 2144431100031