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1022110210220 = 225112521810671
BaseRepresentation
bin11101101111110101000…
…01000001100010101100
310121201020121200110221212
432313322201001202230
5113221240203211340
62101315001013552
7133562562303221
oct16677241014254
93551217613855
101022110210220
11364524627100
121461127842b8
13754ccbc7778
1437682ab5948
151b8c28b4a65
hexedfa8418ac

1022110210220 has 72 divisors (see below), whose sum is σ = 2363831999424. Its totient is φ = 370962592000.

The previous prime is 1022110210213. The next prime is 1022110210223. The reversal of 1022110210220 is 220120112201.

1022110210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1022110210195 and 1022110210204.

It is not an unprimeable number, because it can be changed into a prime (1022110210223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855485 + ... + 1666155.

It is an arithmetic number, because the mean of its divisors is an integer number (32830999992).

Almost surely, 21022110210220 is an apocalyptic number.

1022110210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022110210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181915999712).

1022110210220 is an abundant number, since it is smaller than the sum of its proper divisors (1341721789204).

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

1022110210220 is a wasteful number, since it uses less digits than its factorization.

1022110210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811223 (or 811210 counting only the distinct ones).

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

Adding to 1022110210220 its reverse (220120112201), we get a palindrome (1242230322421).

The spelling of 1022110210220 in words is "one trillion, twenty-two billion, one hundred ten million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 521 605 1042 1210 2084 2420 2605 5210 5731 10420 11462 22924 28655 57310 63041 114620 126082 252164 315205 630410 810671 1260820 1621342 3242684 4053355 8106710 8917381 16213420 17834762 35669524 44586905 89173810 98091191 178347620 196182382 392364764 422359591 490455955 844719182 980911910 1689438364 1961823820 2111797955 4223595910 4645955501 8447191820 9291911002 18583822004 23229777505 46459555010 51105510511 92919110020 102211021022 204422042044 255527552555 511055105110 1022110210220