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111022020120 = 23351184107591
BaseRepresentation
bin110011101100101101…
…1011001011000011000
3101121120022111222102010
41213121123121120120
53304333114120440
6123000335105520
711010141412644
oct1473133313030
9347508458363
10111022020120
11430a2043a40
12196250722a0
13a614176b3b
145532c23c24
152d4bbc8580
hex19d96d9618

111022020120 has 64 divisors (see below), whose sum is σ = 363344797440. Its totient is φ = 26914428800.

The previous prime is 111022020079. The next prime is 111022020149. The reversal of 111022020120 is 21020220111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111022020096 and 111022020105.

It is a congruent number.

It is an unprimeable number.

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, 42052476 + ... + 42055115.

It is an arithmetic number, because the mean of its divisors is an integer number (5677262460).

Almost surely, 2111022020120 is an apocalyptic number.

111022020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111022020120 is an abundant number, since it is smaller than the sum of its proper divisors (252322777320).

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

111022020120 is a wasteful number, since it uses less digits than its factorization.

111022020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84107616 (or 84107612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111022020120 its reverse (21020220111), we get a palindrome (132042240231).

Subtracting from 111022020120 its reverse (21020220111), we obtain a square (90001800009 = 3000032).

The spelling of 111022020120 in words is "one hundred eleven billion, twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 84107591 168215182 252322773 336430364 420537955 504645546 672860728 841075910 925183501 1009291092 1261613865 1682151820 1850367002 2018582184 2523227730 2775550503 3364303640 3700734004 4625917505 5046455460 5551101006 7401468008 9251835010 10092910920 11102202012 13877752515 18503670020 22204404024 27755505030 37007340040 55511010060 111022020120