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2123013431 = 711171985361
BaseRepresentation
bin111111010001010…
…1001110100110111
312110221211020221002
41332202221310313
513321442412211
6550355313515
7103416213350
oct17642516467
95427736832
102123013431
1199a427460
124b2bab89b
1327aab7a86
14161d5ad27
15c65b103b
hex7e8a9d37

2123013431 has 32 divisors (see below), whose sum is σ = 2950110720. Its totient is φ = 1475020800.

The previous prime is 2123013401. The next prime is 2123013433. The reversal of 2123013431 is 1343103212.

It is not a de Polignac number, because 2123013431 - 210 = 2123012407 is a prime.

It is a super-2 number, since 2×21230134312 = 9014372056412783522, which contains 22 as substring.

It is a Duffinian number.

2123013431 is a modest number, since divided by 13431 gives 2123 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123013433) 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, 17810 + ... + 67551.

It is an arithmetic number, because the mean of its divisors is an integer number (92190960).

Almost surely, 22123013431 is an apocalyptic number.

2123013431 is a deficient number, since it is larger than the sum of its proper divisors (827097289).

2123013431 is a wasteful number, since it uses less digits than its factorization.

2123013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85415.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2123013431 is about 46076.1698820551. The cubic root of 2123013431 is about 1285.2400407501.

Adding to 2123013431 its reverse (1343103212), we get a palindrome (3466116643).

The spelling of 2123013431 in words is "two billion, one hundred twenty-three million, thirteen thousand, four hundred thirty-one".

Divisors: 1 7 11 17 19 77 119 133 187 209 323 1309 1463 2261 3553 24871 85361 597527 938971 1451137 1621859 6572797 10157959 11353013 15962507 17840449 27571603 111737549 124883143 193001221 303287633 2123013431