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13114110032340 = 22351928911331251
BaseRepresentation
bin1011111011010101110111…
…0111101011100111010100
31201102200210212122210002120
42332311131313223213110
53204330144132013330
643520312230335540
72522314605023412
oct276653567534724
951380725583076
1013114110032340
1141a6732257a49
121579728aba5b0
13741869820a05
14334a250022b2
1517b1dc4dbc10
hexbed5ddeb9d4

13114110032340 has 48 divisors (see below), whose sum is σ = 36721414981440. Its totient is φ = 3496914400000.

The previous prime is 13114110032333. The next prime is 13114110032347. The reversal of 13114110032340 is 4323001141131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13114110032333) and next prime (13114110032347).

It is a self number, because there is not a number n which added to its sum of digits gives 13114110032340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114110032347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4508286 + ... + 6822965.

It is an arithmetic number, because the mean of its divisors is an integer number (765029478780).

Almost surely, 213114110032340 is an apocalyptic number.

13114110032340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114110032340 is an abundant number, since it is smaller than the sum of its proper divisors (23607304949100).

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

13114110032340 is a wasteful number, since it uses less digits than its factorization.

13114110032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350552 (or 11350550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13114110032340 its reverse (4323001141131), we get a palindrome (17437111173471).

The spelling of 13114110032340 in words is "thirteen trillion, one hundred fourteen billion, one hundred ten million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 19289 38578 57867 77156 96445 115734 192890 231468 289335 385780 578670 1157340 11331251 22662502 33993753 45325004 56656255 67987506 113312510 135975012 169968765 226625020 339937530 679875060 218568500539 437137001078 655705501617 874274002156 1092842502695 1311411003234 2185685005390 2622822006468 3278527508085 4371370010780 6557055016170 13114110032340