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13000214212340 = 2252075331321289
BaseRepresentation
bin1011110100101101100100…
…1001100110111011110100
31201000210211021120122100212
42331023121021212323310
53200443414314243330
643352114351524552
72511143266361225
oct275133111467364
951023737518325
1013000214212340
1141623a600a693
12155b641529758
13733bb817a694
1432d2dc66724c
1517827339c295
hexbd2d9266ef4

13000214212340 has 24 divisors (see below), whose sum is σ = 27301766211720. Its totient is φ = 5199834948608.

The previous prime is 13000214212313. The next prime is 13000214212399. The reversal of 13000214212340 is 4321241200031.

It can be written as a sum of positive squares in 4 ways, for example, as 2515738587664 + 10484475624676 = 1586108^2 + 3237974^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15245585 + ... + 16075704.

It is an arithmetic number, because the mean of its divisors is an integer number (1137573592155).

Almost surely, 213000214212340 is an apocalyptic number.

13000214212340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000214212340 is an abundant number, since it is smaller than the sum of its proper divisors (14301551999380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13000214212340 is a wasteful number, since it uses less digits than its factorization.

13000214212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31342051 (or 31342049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13000214212340 its reverse (4321241200031), we get a palindrome (17321455412371).

The spelling of 13000214212340 in words is "thirteen trillion, two hundred fourteen million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 20753 41506 83012 103765 207530 415060 31321289 62642578 125285156 156606445 313212890 626425780 650010710617 1300021421234 2600042842468 3250053553085 6500107106170 13000214212340