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2112121022022 = 2321197109971937
BaseRepresentation
bin11110101111000100001…
…110010010011001000110
321110220202100022220120100
4132233010032102121012
5234101110440201042
64254143415344530
7305411220316134
oct36570416223106
97426670286510
102112121022022
11744822288160
122a1415082146
131242312cc79b
1474327632754
1539e1b3e124c
hex1ebc4392646

2112121022022 has 48 divisors (see below), whose sum is σ = 5043752964432. Its totient is φ = 633438351360.

The previous prime is 2112121021979. The next prime is 2112121022051. The reversal of 2112121022022 is 2202201212112.

It is a happy number.

2112121022022 is a `hidden beast` number, since 211 + 2 + 1 + 210 + 220 + 22 = 666.

It is a super-2 number, since 2×21121210220222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112121021986 and 2112121022004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54966763 + ... + 55005174.

It is an arithmetic number, because the mean of its divisors is an integer number (105078186759).

Almost surely, 22112121022022 is an apocalyptic number.

2112121022022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112121022022 is an abundant number, since it is smaller than the sum of its proper divisors (2931631942410).

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

2112121022022 is a wasteful number, since it uses less digits than its factorization.

2112121022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109972053 (or 109972050 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112121022022 its reverse (2202201212112), we get a palindrome (4314322234134).

The spelling of 2112121022022 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 6402 9603 19206 109971937 219943874 329915811 659831622 989747433 1209691307 1979494866 2419382614 3629073921 7258147842 10667277889 10887221763 21334555778 21774443526 32001833667 64003667334 96005501001 117340056779 192011002002 234680113558 352020170337 704040340674 1056060511011 2112121022022