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11124444312 = 2333291775933
BaseRepresentation
bin10100101110001000…
…11000110010011000
31001201021121022202000
422113010120302120
5140240324204222
65035511241000
7542450134152
oct122704306230
931637538660
1011124444312
114799505733
1221a5679160
131083949437
14777625ad2
154519719ac
hex297118c98

11124444312 has 64 divisors (see below), whose sum is σ = 31966812000. Its totient is φ = 3580278912.

The previous prime is 11124444307. The next prime is 11124444319. The reversal of 11124444312 is 21344442111.

It is a super-2 number, since 2×111244443122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124444319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881703 + ... + 894230.

Almost surely, 211124444312 is an apocalyptic number.

11124444312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11124444312 is an abundant number, since it is smaller than the sum of its proper divisors (20842367688).

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

11124444312 is a wasteful number, since it uses less digits than its factorization.

11124444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775977 (or 1775967 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 11124444312 its reverse (21344442111), we get a palindrome (32468886423).

The spelling of 11124444312 in words is "eleven billion, one hundred twenty-four million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 1775933 3551866 5327799 7103732 10655598 14207464 15983397 21311196 31966794 42622392 47950191 51502057 63933588 95900382 103004114 127867176 154506171 191800764 206008228 309012342 383601528 412016456 463518513 618024684 927037026 1236049368 1390555539 1854074052 2781111078 3708148104 5562222156 11124444312