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11314124010 = 233572855187
BaseRepresentation
bin10101000100101111…
…11101010011101010
31002012111112001101000
422202113331103222
5141132403432020
65110404535430
7550242316200
oct124227752352
932174461330
1011314124010
114886589912
1222390b1576
1310b402c147
147948bd070
1546343d090
hex2a25fd4ea

11314124010 has 96 divisors (see below), whose sum is σ = 35096915520. Its totient is φ = 2586082464.

The previous prime is 11314123987. The next prime is 11314124077. The reversal of 11314124010 is 1042141311.

11314124010 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113141240102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 414364 + ... + 440823.

It is an arithmetic number, because the mean of its divisors is an integer number (365592870).

Almost surely, 211314124010 is an apocalyptic number.

11314124010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11314124010 is an abundant number, since it is smaller than the sum of its proper divisors (23782791510).

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

11314124010 is a wasteful number, since it uses less digits than its factorization.

11314124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855217 (or 855204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11314124010 its reverse (1042141311), we get a palindrome (12356265321).

The spelling of 11314124010 in words is "eleven billion, three hundred fourteen million, one hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 855187 1710374 2565561 4275935 5131122 5986309 7696683 8551870 11972618 12827805 15393366 17958927 23090049 25655610 29931545 35917854 38483415 41904163 46180098 53876781 59863090 76966830 83808326 89794635 107753562 115450245 125712489 161630343 179589270 209520815 230900490 251424978 269383905 323260686 377137467 419041630 538767810 628562445 754274934 808151715 1131412401 1257124890 1616303430 1885687335 2262824802 3771374670 5657062005 11314124010