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11420000310 = 2354710180191
BaseRepresentation
bin10101010001010111…
…10110000000110110
31002110212202010100110
422220223312000312
5141342010002220
65125110123450
7552666254355
oct125053660066
932425663313
1011420000310
114930324294
122268650586
1310ccc4c544
147a499d99c
1546c8a3be0
hex2a8af6036

11420000310 has 64 divisors (see below), whose sum is σ = 28268642304. Its totient is φ = 2950992000.

The previous prime is 11420000299. The next prime is 11420000311. The reversal of 11420000310 is 1300002411.

It is a happy number.

It is a super-2 number, since 2×114200003102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420000311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102315 + ... + 182505.

It is an arithmetic number, because the mean of its divisors is an integer number (441697536).

Almost surely, 211420000310 is an apocalyptic number.

11420000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11420000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134321152).

11420000310 is an abundant number, since it is smaller than the sum of its proper divisors (16848641994).

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

11420000310 is a wasteful number, since it uses less digits than its factorization.

11420000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80349.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11420000310 its reverse (1300002411), we get a palindrome (12720002721).

The spelling of 11420000310 in words is "eleven billion, four hundred twenty million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 47 94 101 141 202 235 282 303 470 505 606 705 1010 1410 1515 3030 4747 9494 14241 23735 28482 47470 71205 80191 142410 160382 240573 400955 481146 801910 1202865 2405730 3768977 7537954 8099291 11306931 16198582 18844885 22613862 24297873 37689770 40496455 48595746 56534655 80992910 113069310 121489365 242978730 380666677 761333354 1142000031 1903333385 2284000062 3806666770 5710000155 11420000310