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20102111120 = 2457132761279
BaseRepresentation
bin10010101110001011…
…011101111110010000
31220212221200001101002
4102232023131332100
5312132120023440
613122414001132
71311102060650
oct225613357620
956787601332
1020102111120
118586132683
123a901a61a8
131b848aa310
14d89aa6360
157c9bdb115
hex4ae2ddf90

20102111120 has 80 divisors (see below), whose sum is σ = 57522984960. Its totient is φ = 6361984512.

The previous prime is 20102111111. The next prime is 20102111129. The reversal of 20102111120 is 2111120102.

It is an interprime number because it is at equal distance from previous prime (20102111111) and next prime (20102111129).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20102111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373360 + ... + 1387919.

It is an arithmetic number, because the mean of its divisors is an integer number (719037312).

Almost surely, 220102111120 is an apocalyptic number.

20102111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102111120 is an abundant number, since it is smaller than the sum of its proper divisors (37420873840).

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

20102111120 is a wasteful number, since it uses less digits than its factorization.

20102111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761312 (or 2761306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20102111120 its reverse (2111120102), we get a palindrome (22213231222).

The spelling of 20102111120 in words is "twenty billion, one hundred two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 2761279 5522558 11045116 13806395 19328953 22090232 27612790 35896627 38657906 44180464 55225580 71793254 77315812 96644765 110451160 143586508 154631624 179483135 193289530 220902320 251276389 287173016 309263248 358966270 386579060 502552778 574346032 717932540 773158120 1005105556 1256381945 1435865080 1546316240 2010211112 2512763890 2871730160 4020422224 5025527780 10051055560 20102111120