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202222022121 = 33711318152313
BaseRepresentation
bin1011110001010101011…
…1110010110111101001
3201022222012102002211000
42330111113302313221
511303122314201441
6232522143425213
720416151553420
oct2742527626751
9638865362730
10202222022121
1178842072319
12332378b5209
13160b9791472
149b052522b7
1553d85912b6
hex2f155f2de9

202222022121 has 64 divisors (see below), whose sum is σ = 347331479040. Its totient is φ = 113897871360.

The previous prime is 202222022087. The next prime is 202222022129. The reversal of 202222022121 is 121220222202.

202222022121 is a `hidden beast` number, since 202 + 2 + 220 + 221 + 21 = 666.

It is not a de Polignac number, because 202222022121 - 27 = 202222021993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202222022094 and 202222022103.

It is not an unprimeable number, because it can be changed into a prime (202222022129) 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 63 ways as a sum of consecutive naturals, for example, 3839461 + ... + 3891773.

It is an arithmetic number, because the mean of its divisors is an integer number (5427054360).

Almost surely, 2202222022121 is an apocalyptic number.

202222022121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202222022121 is a deficient number, since it is larger than the sum of its proper divisors (145109456919).

202222022121 is a wasteful number, since it uses less digits than its factorization.

202222022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52623 (or 52617 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202222022121 its reverse (121220222202), we get a palindrome (323442244323).

The spelling of 202222022121 in words is "two hundred two billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 113 181 189 339 543 791 1017 1267 1629 2373 3051 3801 4887 7119 11403 20453 21357 34209 52313 61359 143171 156939 184077 366191 429513 470817 552231 1098573 1288539 1412451 3295719 3865617 5911369 9468653 9887157 17734107 28405959 41379583 53202321 66280571 85217877 124138749 159606963 198841713 255653631 372416247 596525139 1069957789 1117248741 1789575417 3209873367 7489704523 9629620101 22469113569 28888860303 67407340707 202222022121