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1020212110221 = 34771101909111
BaseRepresentation
bin11101101100010010110…
…00010110001110001101
310121112100100002000020220
432312021120112032031
5113203343300011341
62100402354101553
7133464543566043
oct16661130261615
93545310060226
101020212110221
11363740159517
12145882b7a8b9
13752898aa985
1437542984393
151b810e2ea66
hexed8961638d

1020212110221 has 16 divisors (see below), whose sum is σ = 1408791564288. Its totient is φ = 656294668400.

The previous prime is 1020212110219. The next prime is 1020212110223. The reversal of 1020212110221 is 1220112120201.

1020212110221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020212110219) and next prime (1020212110223).

It is a cyclic number.

It is not a de Polignac number, because 1020212110221 - 21 = 1020212110219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020212110221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212110223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50944545 + ... + 50964566.

It is an arithmetic number, because the mean of its divisors is an integer number (88049472768).

Almost surely, 21020212110221 is an apocalyptic number.

It is an amenable number.

1020212110221 is a deficient number, since it is larger than the sum of its proper divisors (388579454067).

1020212110221 is a wasteful number, since it uses less digits than its factorization.

1020212110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101909232.

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

Adding to 1020212110221 its reverse (1220112120201), we get a palindrome (2240324230422).

The spelling of 1020212110221 in words is "one trillion, twenty billion, two hundred twelve million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 47 71 141 213 3337 10011 101909111 305727333 4789728217 7235546881 14369184651 21706640643 340070703407 1020212110221