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1022101011122 = 27397337321397
BaseRepresentation
bin11101101111110011111…
…01111011101010110010
310121201012222101010011112
432313321331323222302
5113221230324323442
62101314031513322
7133562421150542
oct16677175735262
93551188333145
101022101011122
1136451a413744
1214610b688842
13754cb026609
143768179d322
151b8c1b99082
hexedf9f7bab2

1022101011122 has 32 divisors (see below), whose sum is σ = 1570714712112. Its totient is φ = 498682220544.

The previous prime is 1022101011101. The next prime is 1022101011133. The reversal of 1022101011122 is 2211101012201.

It can be written as a sum of positive squares in 8 ways, for example, as 1010907582721 + 11193428401 = 1005439^2 + 105799^2 .

It is a super-3 number, since 3×10221010111223 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1022101011097 and 1022101011106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47757728 + ... + 47779124.

Almost surely, 21022101011122 is an apocalyptic number.

1022101011122 is a deficient number, since it is larger than the sum of its proper divisors (548613700990).

1022101011122 is a wasteful number, since it uses less digits than its factorization.

1022101011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24942.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022101011122 its reverse (2211101012201), we get a palindrome (3233202023323).

The spelling of 1022101011122 in words is "one trillion, twenty-two billion, one hundred one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 73 97 146 194 3373 6746 7081 14162 21397 42794 246229 327181 492458 654362 1561981 2075509 3123962 4151018 23884213 47768426 72172081 144344162 151512157 303024314 5268561913 7000691857 10537123826 14001383714 511050505561 1022101011122