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2140131 = 37223457
BaseRepresentation
bin1000001010011111100011
311000201201010
420022133203
51021441011
6113512003
724122310
oct10123743
94021633
102140131
111231a04
12872603
1359c166
143d9d07
152c41a6
hex20a7e3

2140131 has 16 divisors (see below), whose sum is σ = 3282944. Its totient is φ = 1214784.

The previous prime is 2140129. The next prime is 2140139. The reversal of 2140131 is 1310412.

It is a happy number.

2140131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2140131 - 21 = 2140129 is a prime.

It is a super-2 number, since 2×21401312 = 9160321394322, which contains 22 as substring.

2140131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2140139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4455 + ... + 4911.

It is an arithmetic number, because the mean of its divisors is an integer number (205184).

22140131 is an apocalyptic number.

2140131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2140131 is a deficient number, since it is larger than the sum of its proper divisors (1142813).

2140131 is a wasteful number, since it uses less digits than its factorization.

2140131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2140131 is about 1462.9186580258. The cubic root of 2140131 is about 128.8685037067.

Adding to 2140131 its reverse (1310412), we get a palindrome (3450543).

The spelling of 2140131 in words is "two million, one hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 223 457 669 1371 1561 3199 4683 9597 101911 305733 713377 2140131