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20110020001120 = 2557107167807243
BaseRepresentation
bin1001001001010001110101…
…00110010011110101100000
32122012111110212111122102001
410210220322212103311200
510113440310110013440
6110434225440333344
74143621020424430
oct444507246236540
978174425448361
1020110020001120
1164536800292a5
122309559014254
13b2b49c99470a
144d7489d6a2c0
1524d193aceb9a
hex124a3a993d60

20110020001120 has 96 divisors (see below), whose sum is σ = 54804503432448. Its totient is φ = 6830425978368.

The previous prime is 20110020001009. The next prime is 20110020001171. The reversal of 20110020001120 is 2110002001102.

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 = 20110020001097 and 20110020001106.

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, 83783782 + ... + 84023461.

It is an arithmetic number, because the mean of its divisors is an integer number (570880244088).

Almost surely, 220110020001120 is an apocalyptic number.

20110020001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110020001120 is an abundant number, since it is smaller than the sum of its proper divisors (34694483431328).

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

20110020001120 is a wasteful number, since it uses less digits than its factorization.

20110020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167807372 (or 167807364 counting only the distinct ones).

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

Adding to 20110020001120 its reverse (2110002001102), we get a palindrome (22220022002222).

The spelling of 20110020001120 in words is "twenty trillion, one hundred ten billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 107 112 140 160 214 224 280 428 535 560 749 856 1070 1120 1498 1712 2140 2996 3424 3745 4280 5992 7490 8560 11984 14980 17120 23968 29960 59920 119840 167807243 335614486 671228972 839036215 1174650701 1342457944 1678072430 2349301402 2684915888 3356144860 4698602804 5369831776 5873253505 6712289720 9397205608 11746507010 13424579440 17955375001 18794411216 23493014020 26849158880 35910750002 37588822432 46986028040 71821500004 89776875005 93972056080 125687625007 143643000008 179553750010 187944112160 251375250014 287286000016 359107500020 502750500028 574572000032 628438125035 718215000040 1005501000056 1256876250070 1436430000080 2011002000112 2513752500140 2872860000160 4022004000224 5027505000280 10055010000560 20110020001120