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11124121332 = 2231577018423
BaseRepresentation
bin10100101110000110…
…01001111011110100
31001201020222220200210
422113003021323310
5140240233340312
65035500305420
7542444320422
oct122703117364
931636886623
1011124121332
114799305005
1221a5542270
13108386541c
14777580112
1545190ae3c
hex2970c9ef4

11124121332 has 48 divisors (see below), whose sum is σ = 26161978752. Its totient is φ = 3678729600.

The previous prime is 11124121301. The next prime is 11124121363. The reversal of 11124121332 is 23312142111.

It is an interprime number because it is at equal distance from previous prime (11124121301) and next prime (11124121363).

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

It is a junction number, because it is equal to n+sod(n) for n = 11124121299 and 11124121308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1316473 + ... + 1324895.

It is an arithmetic number, because the mean of its divisors is an integer number (545041224).

Almost surely, 211124121332 is an apocalyptic number.

11124121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11124121332 is an abundant number, since it is smaller than the sum of its proper divisors (15037857420).

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

11124121332 is a wasteful number, since it uses less digits than its factorization.

11124121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9286 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 11124121332 its reverse (23312142111), we get a palindrome (34436263443).

The spelling of 11124121332 in words is "eleven billion, one hundred twenty-four million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 157 314 471 628 701 942 1402 1884 2103 2804 4206 8412 8423 16846 25269 33692 50538 101076 110057 220114 330171 440228 660342 1320684 1322411 2644822 3967233 5289644 5904523 7934466 11809046 15868932 17713569 23618092 35427138 70854276 927010111 1854020222 2781030333 3708040444 5562060666 11124121332