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1022100210201 = 374710211014263
BaseRepresentation
bin11101101111110011110…
…10111000001000011001
310121201012220212102111210
432313321322320020121
5113221230123211301
62101314002413333
7133562411303520
oct16677172701031
93551186772453
101022100210201
11364519a16a24
1214610b361249
13754cab05bb5
14376816314b7
151b8c1a8bad6
hexedf9eb8219

1022100210201 has 32 divisors (see below), whose sum is σ = 1592183513088. Its totient is φ = 571070076480.

The previous prime is 1022100210181. The next prime is 1022100210247. The reversal of 1022100210201 is 1020120012201.

It is not a de Polignac number, because 1022100210201 - 210 = 1022100209177 is a prime.

It is a super-3 number, since 3×10221002102013 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022100210251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500596 + ... + 1514858.

It is an arithmetic number, because the mean of its divisors is an integer number (49755734784).

Almost surely, 21022100210201 is an apocalyptic number.

It is an amenable number.

1022100210201 is a deficient number, since it is larger than the sum of its proper divisors (570083302887).

1022100210201 is a wasteful number, since it uses less digits than its factorization.

1022100210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015341.

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

Adding to 1022100210201 its reverse (1020120012201), we get a palindrome (2042220222402).

The spelling of 1022100210201 in words is "one trillion, twenty-two billion, one hundred million, two hundred ten thousand, two hundred one".

Divisors: 1 3 7 21 47 141 329 987 1021 3063 7147 21441 47987 143961 335909 1007727 1014263 3042789 7099841 21299523 47670361 143011083 333692527 1001077581 1035562523 3106687569 7248937661 21746812983 48671438581 146014315743 340700070067 1022100210201