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2102440431 = 37137701247
BaseRepresentation
bin111110101010000…
…1011000111101111
312102112010001002010
41331110023013233
513301211043211
6544342332303
7103046306640
oct17524130757
95375101063
102102440431
11989855683
124a812a093
132767638c0
1415d3236c7
15c489a4a6
hex7d50b1ef

2102440431 has 16 divisors (see below), whose sum is σ = 3450159104. Its totient is φ = 1108979424.

The previous prime is 2102440399. The next prime is 2102440441. The reversal of 2102440431 is 1340442012.

It is not a de Polignac number, because 2102440431 - 25 = 2102440399 is a prime.

It is a super-2 number, since 2×21024404312 = 8840511531806931522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2102440398 and 2102440407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102440441) 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 15 ways as a sum of consecutive naturals, for example, 3850351 + ... + 3850896.

It is an arithmetic number, because the mean of its divisors is an integer number (215634944).

Almost surely, 22102440431 is an apocalyptic number.

2102440431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2102440431 is a deficient number, since it is larger than the sum of its proper divisors (1347718673).

2102440431 is a wasteful number, since it uses less digits than its factorization.

2102440431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701270.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2102440431 is about 45852.3765032959. The cubic root of 2102440431 is about 1281.0750309046.

Adding to 2102440431 its reverse (1340442012), we get a palindrome (3442882443).

The spelling of 2102440431 in words is "two billion, one hundred two million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 7701247 23103741 53908729 100116211 161726187 300348633 700813477 2102440431