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11344314102 = 2311234944773
BaseRepresentation
bin10101001000010110…
…00111111011110110
31002021121022212101120
422210023013323312
5141213121022402
65113404004410
7551060036022
oct124413077366
932247285346
1011344314102
1148a162a100
122247230706
1310ba36c7c4
147988db382
15465e033bc
hex2a42c7ef6

11344314102 has 48 divisors (see below), whose sum is σ = 25010756400. Its totient is φ = 3427744320.

The previous prime is 11344314101. The next prime is 11344314103. The reversal of 11344314102 is 20141344311.

It is an interprime number because it is at equal distance from previous prime (11344314101) and next prime (11344314103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344314101) 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 23 ways as a sum of consecutive naturals, for example, 230988 + ... + 275760.

It is an arithmetic number, because the mean of its divisors is an integer number (521057425).

Almost surely, 211344314102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11344314102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12505378200).

11344314102 is an abundant number, since it is smaller than the sum of its proper divisors (13666442298).

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

11344314102 is a wasteful number, since it uses less digits than its factorization.

11344314102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45149 (or 45138 counting only the distinct ones).

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

Adding to 11344314102 its reverse (20141344311), we get a palindrome (31485658413).

The spelling of 11344314102 in words is "eleven billion, three hundred forty-four million, three hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 349 363 698 726 1047 2094 3839 7678 11517 23034 42229 44773 84458 89546 126687 134319 253374 268638 492503 985006 1477509 2955018 5417533 10835066 15625777 16252599 31251554 32505198 46877331 93754662 171883547 343767094 515650641 1031301282 1890719017 3781438034 5672157051 11344314102