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11154240252 = 22321075095689
BaseRepresentation
bin10100110001101100…
…00011001011111100
31001210100200010002100
422120312003023330
5140320441142002
65042454025100
7543261322611
oct123066031374
931710603070
1011154240252
114804306881
1221b3648190
131089b7c57c
1477b580508
154543aa11c
hex298d832fc

11154240252 has 72 divisors (see below), whose sum is σ = 28519873200. Its totient is φ = 3675449088.

The previous prime is 11154240197. The next prime is 11154240257. The reversal of 11154240252 is 25204245111.

It is a happy number.

11154240252 is a `hidden beast` number, since 111 + 542 + 4 + 0 + 2 + 5 + 2 = 666.

11154240252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111542402523 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11154240257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1957824 + ... + 1963512.

It is an arithmetic number, because the mean of its divisors is an integer number (396109350).

Almost surely, 211154240252 is an apocalyptic number.

11154240252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11154240252 is an abundant number, since it is smaller than the sum of its proper divisors (17365632948).

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

11154240252 is a wasteful number, since it uses less digits than its factorization.

11154240252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11154240252 its reverse (25204245111), we get a palindrome (36358485363).

The spelling of 11154240252 in words is "eleven billion, one hundred fifty-four million, two hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 509 642 963 1018 1284 1527 1926 2036 3054 3852 4581 5689 6108 9162 11378 17067 18324 22756 34134 51201 54463 68268 102402 108926 163389 204804 217852 326778 490167 608723 653556 980334 1217446 1826169 1960668 2434892 2895701 3652338 5478507 5791402 7304676 8687103 10957014 11582804 17374206 21914028 26061309 34748412 52122618 104245236 309840007 619680014 929520021 1239360028 1859040042 2788560063 3718080084 5577120126 11154240252