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1022110100022 = 231197193827227
BaseRepresentation
bin11101101111110101000…
…00100110101000110110
310121201020121110212210110
432313322200212220312
5113221240141200042
62101314554403450
7133562561334024
oct16677240465066
93551217425713
101022110100022
11364524561330
12146112730586
13754ccb8956b
1437682a87714
151b8c289209c
hexedfa826a36

1022110100022 has 64 divisors (see below), whose sum is σ = 2264725257984. Its totient is φ = 304948592640.

The previous prime is 1022110099943. The next prime is 1022110100057. The reversal of 1022110100022 is 2200010112201.

It is a junction number, because it is equal to n+sod(n) for n = 1022110099980 and 1022110100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821973 + ... + 1649199.

It is an arithmetic number, because the mean of its divisors is an integer number (35386332156).

Almost surely, 21022110100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022110100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132362628992).

1022110100022 is an abundant number, since it is smaller than the sum of its proper divisors (1242615157962).

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

1022110100022 is a wasteful number, since it uses less digits than its factorization.

1022110100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827533.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022110100022 its reverse (2200010112201), we get a palindrome (3222120212223).

The spelling of 1022110100022 in words is "one trillion, twenty-two billion, one hundred ten million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 97 193 194 291 386 579 582 1067 1158 2123 2134 3201 4246 6369 6402 12738 18721 37442 56163 112326 205931 411862 617793 827227 1235586 1654454 2481681 4963362 9099497 18198994 27298491 54596982 80241019 159654811 160482038 240723057 319309622 478964433 481446114 882651209 957928866 1756202921 1765302418 2647953627 3512405842 5268608763 5295907254 10537217526 15486516667 30973033334 46459550001 92919100002 170351683337 340703366674 511055050011 1022110100022