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11124434430 = 2335371113557
BaseRepresentation
bin10100101110001000…
…10110010111111110
31001201021120211012000
422113010112113332
5140240323400210
65035511123130
7542450063304
oct122704262776
931637524160
1011124434430
1147994a926a
1221a56734a6
131083944aa5
14777622274
1545196dac0
hex2971165fe

11124434430 has 64 divisors (see below), whose sum is σ = 30466946880. Its totient is φ = 2886337152.

The previous prime is 11124434407. The next prime is 11124434437. The reversal of 11124434430 is 3443442111.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11124434394 and 11124434403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124434437) 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 31 ways as a sum of consecutive naturals, for example, 546789 + ... + 566768.

It is an arithmetic number, because the mean of its divisors is an integer number (476046045).

Almost surely, 211124434430 is an apocalyptic number.

11124434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11124434430 is an abundant number, since it is smaller than the sum of its proper divisors (19342512450).

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

11124434430 is a wasteful number, since it uses less digits than its factorization.

11124434430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113610 (or 1113604 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11124434430 its reverse (3443442111), we get a palindrome (14567876541).

The spelling of 11124434430 in words is "eleven billion, one hundred twenty-four million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 1113557 2227114 3340671 5567785 6681342 10022013 11135570 16703355 20044026 30066039 33406710 41201609 50110065 60132078 82403218 100220130 123604827 150330195 206008045 247209654 300660390 370814481 412016090 618024135 741628962 1112443443 1236048270 1854072405 2224886886 3708144810 5562217215 11124434430