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1022110222221 = 3211311300925601
BaseRepresentation
bin11101101111110101000…
…01000100011110001101
310121201020121201002102100
432313322201010132031
5113221240204102341
62101315001145313
7133562562353214
oct16677241043615
93551217632370
101022110222221
11364524635120
1214611278b239
13754ccc0007a
1437682aba07b
151b8c28b83b6
hexedfa84478d

1022110222221 has 48 divisors (see below), whose sum is σ = 1662745443840. Its totient is φ = 599408640000.

The previous prime is 1022110222123. The next prime is 1022110222229. The reversal of 1022110222221 is 1222220112201.

It is a happy number.

1022110222221 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 0 + 222 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1022110222221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022110222194 and 1022110222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022110222229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39911821 + ... + 39937421.

It is an arithmetic number, because the mean of its divisors is an integer number (34640530080).

Almost surely, 21022110222221 is an apocalyptic number.

1022110222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022110222221 is a deficient number, since it is larger than the sum of its proper divisors (640635221619).

1022110222221 is a wasteful number, since it uses less digits than its factorization.

1022110222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38658 (or 38655 counting only the distinct ones).

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

Adding to 1022110222221 its reverse (1222220112201), we get a palindrome (2244330334422).

The spelling of 1022110222221 in words is "one trillion, twenty-two billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 13009 25601 39027 76803 117081 143099 230409 281611 403279 429297 793631 844833 1209837 1287891 2380893 2534499 3629511 4436069 7142679 8729941 13308207 26189823 39924621 78569469 333043409 999130227 2997390681 3663477499 10324345679 10990432497 30973037037 32971297491 92919111111 113567802469 340703407407 1022110222221