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11124133332 = 2231371308547
BaseRepresentation
bin10100101110000110…
…01100110111010100
31001201021000112011020
422113003030313110
5140240234231312
65035500441140
7542444400414
oct122703146724
931637015136
1011124133332
114799313024
1221a55491b0
13108386aa20
14777584644
1545190e78c
hex2970ccdd4

11124133332 has 24 divisors (see below), whose sum is σ = 27952950816. Its totient is φ = 3422810208.

The previous prime is 11124133313. The next prime is 11124133351. The reversal of 11124133332 is 23333142111.

11124133332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11124133313) and next prime (11124133351).

It is a super-2 number, since 2×111241333322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35654118 + ... + 35654429.

It is an arithmetic number, because the mean of its divisors is an integer number (1164706284).

Almost surely, 211124133332 is an apocalyptic number.

11124133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11124133332 is an abundant number, since it is smaller than the sum of its proper divisors (16828817484).

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

11124133332 is a wasteful number, since it uses less digits than its factorization.

11124133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71308567 (or 71308565 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 11124133332 its reverse (23333142111), we get a palindrome (34457275443).

The spelling of 11124133332 in words is "eleven billion, one hundred twenty-four million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 71308547 142617094 213925641 285234188 427851282 855702564 927011111 1854022222 2781033333 3708044444 5562066666 11124133332