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2800123431 = 371723214827
BaseRepresentation
bin1010011011100110…
…0111111000100111
321020010221000020020
42212321213320213
521213312422211
61141504210223
7126250441110
oct24671477047
97203830206
102800123431
1112076621a6
12661909973
13358171491
141c7c57207
15115c61306
hexa6e67e27

2800123431 has 48 divisors (see below), whose sum is σ = 4723133184. Its totient is φ = 1440375552.

The previous prime is 2800123411. The next prime is 2800123451. The reversal of 2800123431 is 1343210082.

It is an interprime number because it is at equal distance from previous prime (2800123411) and next prime (2800123451).

It is not a de Polignac number, because 2800123431 - 217 = 2799992359 is a prime.

It is a super-2 number, since 2×28001234312 = 15681382457670423522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800123411) 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 47 ways as a sum of consecutive naturals, for example, 181440 + ... + 196266.

It is an arithmetic number, because the mean of its divisors is an integer number (98398608).

Almost surely, 22800123431 is an apocalyptic number.

2800123431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2800123431 is a deficient number, since it is larger than the sum of its proper divisors (1923009753).

2800123431 is a wasteful number, since it uses less digits than its factorization.

2800123431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14900 (or 14877 counting only the distinct ones).

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

The square root of 2800123431 is about 52916.1925217603. The cubic root of 2800123431 is about 1409.4804569451.

The spelling of 2800123431 in words is "two billion, eight hundred million, one hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 17 21 23 51 69 119 161 357 391 483 529 1173 1587 2737 3703 8211 8993 11109 14827 26979 44481 62951 103789 188853 252059 311367 341021 756177 1023063 1764413 2387147 5293239 5797357 7161441 7843483 17392071 23530449 40581499 54904381 121744497 133339211 164713143 400017633 933374477 2800123431