Search a number
-
+
210022211000120 = 23519430232702261
BaseRepresentation
bin101111110000001110011011…
…010010000001011100111000
31000112121221000222210000121212
4233300032123102001130320
5210012000442004000440
62022402512145222252
762144414114241401
oct5760163322013470
91015557028700555
10210022211000120
1160a12a12929512
121b67b865631988
139026017ba550c
1439c11b493a9a8
15194325ddde465
hexbf039b481738

210022211000120 has 32 divisors (see below), whose sum is σ = 472550392825920. Its totient is φ = 84008810075520.

The previous prime is 210022211000083. The next prime is 210022211000159. The reversal of 210022211000120 is 21000112220012.

It is a super-2 number, since 2×2100222110001202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210022211000095 and 210022211000104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76369790 + ... + 79072050.

It is an arithmetic number, because the mean of its divisors is an integer number (14767199775810).

Almost surely, 2210022211000120 is an apocalyptic number.

210022211000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022211000120 is an abundant number, since it is smaller than the sum of its proper divisors (262528181825800).

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

210022211000120 is a wasteful number, since it uses less digits than its factorization.

210022211000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645295 (or 4645291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210022211000120 its reverse (21000112220012), we get a palindrome (231022323220132).

The spelling of 210022211000120 in words is "two hundred ten trillion, twenty-two billion, two hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 1943023 2702261 3886046 5404522 7772092 9715115 10809044 13511305 15544184 19430230 21618088 27022610 38860460 54045220 77720920 108090440 5250555275003 10501110550006 21002221100012 26252776375015 42004442200024 52505552750030 105011105500060 210022211000120