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20111242431 = 372793075641
BaseRepresentation
bin10010101110101110…
…010011010010111111
31220220120211222011210
4102232232103102333
5312141434224211
613123341415503
71311242511600
oct225656232277
956816758153
1020111242431
1185902aa115
123a9326a593
131b86756667
14d8ada1da7
157ca8e19a6
hex4aeb934bf

20111242431 has 48 divisors (see below), whose sum is σ = 31696304640. Its totient is φ = 11307703680.

The previous prime is 20111242429. The next prime is 20111242447. The reversal of 20111242431 is 13424211102.

It is not a de Polignac number, because 20111242431 - 21 = 20111242429 is a prime.

It is a super-2 number, since 2×201112424312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20111242398 and 20111242407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111242831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3562371 + ... + 3568011.

It is an arithmetic number, because the mean of its divisors is an integer number (660339680).

Almost surely, 220111242431 is an apocalyptic number.

20111242431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20111242431 is a deficient number, since it is larger than the sum of its proper divisors (11585062209).

20111242431 is a wasteful number, since it uses less digits than its factorization.

20111242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20111242431 its reverse (13424211102), we get a palindrome (33535453533).

The spelling of 20111242431 in words is "twenty billion, one hundred eleven million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 79 147 237 307 553 921 1659 2149 3871 5641 6447 11613 15043 16923 24253 39487 45129 72759 118461 169771 276409 445639 509313 829227 1188397 1336917 1731787 3119473 3565191 5195361 9358419 12122509 21836311 36367527 65508933 84857563 136811173 254572689 410433519 957678211 2873034633 6703747477 20111242431