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20211122222120 = 23523112349195539
BaseRepresentation
bin1001001100001110001001…
…10000101011010000101000
32122120011102212011121121202
410212013010300223100220
510122114334242101440
6110552510020023332
74154130310216304
oct446070460532050
978504385147552
1020211122222120
116492541656345
122325073b31b48
13b37b92951a1b
144dc31b546d04
15250b0e98d615
hex1261c4c2b428

20211122222120 has 64 divisors (see below), whose sum is σ = 47452865040000. Its totient is φ = 7732842734848.

The previous prime is 20211122222119. The next prime is 20211122222167. The reversal of 20211122222120 is 2122222111202.

It is a super-2 number, since 2×202111222221202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20211122222092 and 20211122222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103263311 + ... + 103458849.

It is an arithmetic number, because the mean of its divisors is an integer number (741451016250).

Almost surely, 220211122222120 is an apocalyptic number.

20211122222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211122222120 is an abundant number, since it is smaller than the sum of its proper divisors (27241742817880).

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

20211122222120 is a wasteful number, since it uses less digits than its factorization.

20211122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307922 (or 307918 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20211122222120 its reverse (2122222111202), we get a palindrome (22333344333322).

The spelling of 20211122222120 in words is "twenty trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 112349 195539 224698 391078 449396 561745 782156 898792 977695 1123490 1564312 1955390 2246980 2584027 3910780 4493960 4497397 5168054 7821560 8994794 10336108 12920135 17989588 20672216 22486985 25840270 35979176 44973970 51680540 89947940 103361080 179895880 21968611111 43937222222 87874444444 109843055555 175748888888 219686111110 439372222220 505278055553 878744444440 1010556111106 2021112222212 2526390277765 4042224444424 5052780555530 10105561111060 20211122222120