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1020122011221 = 34771101900111
BaseRepresentation
bin11101101100001000000…
…00101001011001010101
310121112010001112111122220
432312010000221121111
5113203202213324341
62100345415012553
7133462401011535
oct16660400513125
93545101474586
101020122011221
113636a430a835
1214585896a159
1375274022961
1437534a0d4c5
151b808083a66
hexed84029655

1020122011221 has 16 divisors (see below), whose sum is σ = 1408667148288. Its totient is φ = 656236708400.

The previous prime is 1020122011219. The next prime is 1020122011277. The reversal of 1020122011221 is 1221102210201.

It is a cyclic number.

It is not a de Polignac number, because 1020122011221 - 21 = 1020122011219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020122011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020122001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50940045 + ... + 50960066.

It is an arithmetic number, because the mean of its divisors is an integer number (88041696768).

Almost surely, 21020122011221 is an apocalyptic number.

It is an amenable number.

1020122011221 is a deficient number, since it is larger than the sum of its proper divisors (388545137067).

1020122011221 is a wasteful number, since it uses less digits than its factorization.

1020122011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101900232.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1020122011221 its reverse (1221102210201), we get a palindrome (2241224221422).

The spelling of 1020122011221 in words is "one trillion, twenty billion, one hundred twenty-two million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 47 71 141 213 3337 10011 101900111 305700333 4789305217 7234907881 14367915651 21704723643 340040670407 1020122011221