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22122022102020 = 22325122900122789
BaseRepresentation
bin1010000011110101011110…
…10001001110010000000100
32220022211210202102101121200
411001322233101032100010
510344421400124231040
6115014414444142500
74442156221206351
oct501725721162004
986284722371550
1022122022102020
117059995836135
122593490537a30
13c46136947929
145669d6823628
152856a05e5630
hex141eaf44e404

22122022102020 has 36 divisors (see below), whose sum is σ = 67103467043340. Its totient is φ = 5899205893824.

The previous prime is 22122022102009. The next prime is 22122022102031. The reversal of 22122022102020 is 2020122022122.

22122022102020 is a `hidden beast` number, since 2 + 21 + 220 + 221 + 0 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22122022102009) and next prime (22122022102031).

It can be written as a sum of positive squares in 2 ways, for example, as 9805628383236 + 12316393718784 = 3131394^2 + 3509472^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×221220221020202 (a number of 27 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 = 22122022101984 and 22122022102002.

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 11 ways as a sum of consecutive naturals, for example, 61450061215 + ... + 61450061574.

Almost surely, 222122022102020 is an apocalyptic number.

22122022102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122022102020 is an abundant number, since it is smaller than the sum of its proper divisors (44981444941320).

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

22122022102020 is a wasteful number, since it uses less digits than its factorization.

22122022102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122900122804 (or 122900122799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22122022102020 its reverse (2020122022122), we get a palindrome (24142144124142).

The spelling of 22122022102020 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122900122789 245800245578 368700368367 491600491156 614500613945 737400736734 1106101105101 1229001227890 1474801473468 1843501841835 2212202210202 2458002455780 3687003683670 4424404420404 5530505525505 7374007367340 11061011051010 22122022102020