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1022222120201 = 171092412289037
BaseRepresentation
bin11101110000000010010…
…11111011010100001001
310121201112102021002120222
432320001023323110021
5113222002330321301
62101334035355425
7133565421441332
oct16700113732411
93551472232528
101022222120201
11364581812797
12146144152b75
137551a14b2a9
14376938c7289
151b8cc61d31b
hexee012fb509

1022222120201 has 16 divisors (see below), whose sum is σ = 1096815448080. Its totient is φ = 949309009920.

The previous prime is 1022222120147. The next prime is 1022222120203. The reversal of 1022222120201 is 1020212222201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 158363406601 + 863858713600 = 397949^2 + 929440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022222120201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1022222120201.

It is not an unprimeable number, because it can be changed into a prime (1022222120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697946 + ... + 1591091.

It is an arithmetic number, because the mean of its divisors is an integer number (68550965505).

Almost surely, 21022222120201 is an apocalyptic number.

It is an amenable number.

1022222120201 is a deficient number, since it is larger than the sum of its proper divisors (74593327879).

1022222120201 is a wasteful number, since it uses less digits than its factorization.

1022222120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289404.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1022222120201 its reverse (1020212222201), we get a palindrome (2042434342402).

The spelling of 1022222120201 in words is "one trillion, twenty-two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".

Divisors: 1 17 109 241 1853 4097 26269 446573 2289037 38913629 249505033 551657917 4241585561 9378184589 60130712953 1022222120201