Search a number
-
+
20111121432 = 23322336733091
BaseRepresentation
bin10010101110101101…
…110101110000011000
31220220120121211012100
4102232231311300120
5312141421341212
613123335043400
71311241466043
oct225655656030
956816554170
1020111121432
118590227216
123a93210560
131b8671356c
14d8ad6dc5a
157ca8babdc
hex4aeb75c18

20111121432 has 96 divisors (see below), whose sum is σ = 56992366080. Its totient is φ = 6394576320.

The previous prime is 20111121427. The next prime is 20111121469. The reversal of 20111121432 is 23412111102.

20111121432 is a `hidden beast` number, since 2 + 0 + 111 + 121 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591207 + ... + 624297.

It is an arithmetic number, because the mean of its divisors is an integer number (593670480).

Almost surely, 220111121432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28496183040).

20111121432 is an abundant number, since it is smaller than the sum of its proper divisors (36881244648).

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

20111121432 is a wasteful number, since it uses less digits than its factorization.

20111121432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33493 (or 33486 counting only the distinct ones).

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

Adding to 20111121432 its reverse (23412111102), we get a palindrome (43523232534).

The spelling of 20111121432 in words is "twenty billion, one hundred eleven million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 367 414 552 734 828 1101 1468 1656 2202 2936 3303 4404 6606 8441 8808 13212 16882 25323 26424 33091 33764 50646 66182 67528 75969 99273 101292 132364 151938 198546 202584 264728 297819 303876 397092 595638 607752 761093 794184 1191276 1522186 2283279 2382552 3044372 4566558 6088744 6849837 9133116 12144397 13699674 18266232 24288794 27399348 36433191 48577588 54798696 72866382 97155176 109299573 145732764 218599146 279321131 291465528 437198292 558642262 837963393 874396584 1117284524 1675926786 2234569048 2513890179 3351853572 5027780358 6703707144 10055560716 20111121432