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20111121380 = 22571727131181
BaseRepresentation
bin10010101110101101…
…110101101111100100
31220220120121211010102
4102232231311233210
5312141421341010
613123335043232
71311241465640
oct225655655744
956816554112
1020111121380
118590227179
123a93210518
131b8671352c
14d8ad6dc20
157ca8baba5
hex4aeb75be4

20111121380 has 96 divisors (see below), whose sum is σ = 51296136192. Its totient is φ = 6465484800.

The previous prime is 20111121379. The next prime is 20111121421. The reversal of 20111121380 is 8312111102.

It is a happy number.

It is a super-2 number, since 2×201111213802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629390 + ... + 660570.

It is an arithmetic number, because the mean of its divisors is an integer number (534334752).

Almost surely, 220111121380 is an apocalyptic number.

20111121380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111121380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648068096).

20111121380 is an abundant number, since it is smaller than the sum of its proper divisors (31185014812).

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

20111121380 is a wasteful number, since it uses less digits than its factorization.

20111121380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31485 (or 31483 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 20111121380 its reverse (8312111102), we get a palindrome (28423232482).

The spelling of 20111121380 in words is "twenty billion, one hundred eleven million, one hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 271 340 476 542 595 1084 1190 1355 1897 2380 2710 3794 4607 5420 7588 9214 9485 18428 18970 23035 31181 32249 37940 46070 62362 64498 92140 124724 128996 155905 161245 218267 311810 322490 436534 530077 623620 644980 873068 1060154 1091335 2120308 2182670 2650385 3710539 4365340 5300770 7421078 8450051 10601540 14842156 16900102 18552695 33800204 37105390 42250255 59150357 74210780 84500510 118300714 143650867 169001020 236601428 287301734 295751785 574603468 591503570 718254335 1005556069 1183007140 1436508670 2011112138 2873017340 4022224276 5027780345 10055560690 20111121380