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202201010212221 = 321011632113645851
BaseRepresentation
bin101101111110011010010111…
…011000110000110101111101
3222111221020011001122200200100
4231332122113120300311331
5203000330132103242341
61554013510044551313
760406353346402656
oct5576322730606575
9874836131580610
10202201010212221
1159477a6a993769
121a817ab1252539
1388a9620216917
1437d081c80052d
151859aa403d3b6
hexb7e697630d7d

202201010212221 has 48 divisors (see below), whose sum is σ = 296910368419392. Its totient is φ = 132584221440000.

The previous prime is 202201010212211. The next prime is 202201010212249. The reversal of 202201010212221 is 122212010102202.

It is a happy number.

202201010212221 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 0 + 10 + 212 + 221 = 666.

It is not a de Polignac number, because 202201010212221 - 219 = 202201009687933 is a prime.

It is a super-2 number, since 2×2022010102122212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202201010212194 and 202201010212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201010212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312753946 + ... + 313399796.

It is an arithmetic number, because the mean of its divisors is an integer number (6185632675404).

Almost surely, 2202201010212221 is an apocalyptic number.

It is an amenable number.

202201010212221 is a deficient number, since it is larger than the sum of its proper divisors (94709358207171).

202201010212221 is a wasteful number, since it uses less digits than its factorization.

202201010212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648234 (or 648231 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202201010212221 its reverse (122212010102202), we get a palindrome (324413020314423).

The spelling of 202201010212221 in words is "two hundred two trillion, two hundred one billion, ten million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 101 163 303 489 909 1467 2113 6339 16463 19017 49389 148167 213413 344419 640239 645851 1033257 1920717 1937553 3099771 5812659 34786319 65230951 104358957 105273713 195692853 313076871 315821139 587078559 947463417 1364683163 4094049489 10632645013 12282148467 31897935039 95693805117 137832999463 222443355569 413498998389 667330066707 1240496995167 2001990200121 22466778912469 67400336737407 202201010212221