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11242124412 = 2231755108453
BaseRepresentation
bin10100111100001010…
…10011010001111100
31002000111001002111020
422132011103101330
5141010440440122
65055313424140
7545406323631
oct123605232174
932014032436
1011242124412
114849982512
122218b6b050
1310a214042c
147890da188
1545be69c5c
hex29e15347c

11242124412 has 24 divisors (see below), whose sum is σ = 27774660816. Its totient is φ = 3526940928.

The previous prime is 11242124371. The next prime is 11242124431. The reversal of 11242124412 is 21442124211.

It is a happy number.

11242124412 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-2 number, since 2×112421244122 (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, 27554023 + ... + 27554430.

It is an arithmetic number, because the mean of its divisors is an integer number (1157277534).

Almost surely, 211242124412 is an apocalyptic number.

11242124412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11242124412 is an abundant number, since it is smaller than the sum of its proper divisors (16532536404).

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

11242124412 is a wasteful number, since it uses less digits than its factorization.

11242124412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55108477 (or 55108475 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 11242124412 its reverse (21442124211), we get a palindrome (32684248623).

The spelling of 11242124412 in words is "eleven billion, two hundred forty-two million, one hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 55108453 110216906 165325359 220433812 330650718 661301436 936843701 1873687402 2810531103 3747374804 5621062206 11242124412