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20110120120 = 2353719968281
BaseRepresentation
bin10010101110101010…
…000001010010111000
31220220111201221122201
4102232222001102320
5312141142320440
613123301355544
71311230125546
oct225652012270
956814657581
1020110120120
11858a702992
123a92a08bb4
131b8645287c
14d8ab8cd96
157ca76e19a
hex4aea814b8

20110120120 has 64 divisors (see below), whose sum is σ = 46704888000. Its totient is φ = 7787197440.

The previous prime is 20110120091. The next prime is 20110120133. The reversal of 20110120120 is 2102101102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20110120097 and 20110120106.

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, 260380 + ... + 328660.

It is an arithmetic number, because the mean of its divisors is an integer number (729763875).

Almost surely, 220110120120 is an apocalyptic number.

20110120120 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 20110120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23352444000).

20110120120 is an abundant number, since it is smaller than the sum of its proper divisors (26594767880).

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

20110120120 is a wasteful number, since it uses less digits than its factorization.

20110120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68528 (or 68524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110120120 its reverse (2102101102), we get a palindrome (22212221222).

The spelling of 20110120120 in words is "twenty billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 199 296 370 398 740 796 995 1480 1592 1990 3980 7363 7960 14726 29452 36815 58904 68281 73630 136562 147260 273124 294520 341405 546248 682810 1365620 2526397 2731240 5052794 10105588 12631985 13587919 20211176 25263970 27175838 50527940 54351676 67939595 101055880 108703352 135879190 271758380 502753003 543516760 1005506006 2011012012 2513765015 4022024024 5027530030 10055060060 20110120120