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2098131 = 3732039
BaseRepresentation
bin1000000000001111010011
310221121002120
420000033103
51014120011
6112545323
723556000
oct10001723
93847076
102098131
1112033a2
12852243
13585cc9
143c88a7
152b6a06
hex2003d3

2098131 has 16 divisors (see below), whose sum is σ = 3264000. Its totient is φ = 1198344.

The previous prime is 2098097. The next prime is 2098133. The reversal of 2098131 is 1318902.

It is not a de Polignac number, because 2098131 - 213 = 2089939 is a prime.

It is a super-2 number, since 2×20981312 = 8804307386322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

2098131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2098133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (204000).

22098131 is an apocalyptic number.

2098131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2098131 is a deficient number, since it is larger than the sum of its proper divisors (1165869).

2098131 is an equidigital number, since it uses as much as digits as its factorization.

2098131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2098131 is about 1448.4926648071. The cubic root of 2098131 is about 128.0199147074.

It can be divided in two parts, 20981 and 31, that added together give a palindrome (21012).

The spelling of 2098131 in words is "two million, ninety-eight thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 343 1029 2039 6117 14273 42819 99911 299733 699377 2098131