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20111121342 = 23313212791723
BaseRepresentation
bin10010101110101101…
…110101101110111110
31220220120121211002000
4102232231311232332
5312141421340332
613123335043130
71311241465554
oct225655655676
956816554060
1020111121342
118590227144
123a932104a6
131b86713500
14d8ad6dbd4
157ca8bab7c
hex4aeb75bbe

20111121342 has 96 divisors (see below), whose sum is σ = 48459571200. Its totient is φ = 6179610528.

The previous prime is 20111121341. The next prime is 20111121379. The reversal of 20111121342 is 24312111102.

20111121342 is a `hidden beast` number, since 201 + 1 + 1 + 121 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11671293 + ... + 11673015.

It is an arithmetic number, because the mean of its divisors is an integer number (504787200).

Almost surely, 220111121342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111121342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24229785600).

20111121342 is an abundant number, since it is smaller than the sum of its proper divisors (28348449858).

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

20111121342 is a wasteful number, since it uses less digits than its factorization.

20111121342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20111121342 its reverse (24312111102), we get a palindrome (44423232444).

The spelling of 20111121342 in words is "twenty billion, one hundred eleven million, one hundred twenty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1279 1521 1723 2558 3042 3446 3837 4563 5169 7674 9126 10338 11511 15507 16627 22399 23022 31014 33254 34533 44798 46521 49881 67197 69066 93042 99762 134394 149643 201591 216151 291187 299286 403182 432302 448929 582374 604773 648453 873561 897858 1209546 1296906 1747122 1945359 2203717 2620683 3890718 4407434 5241366 5836077 6611151 7862049 11672154 13222302 15724098 19833453 28648321 39666906 57296642 59500359 85944963 119000718 171889926 257834889 372428173 515669778 744856346 773504667 1117284519 1547009334 2234569038 3351853557 6703707114 10055560671 20111121342