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201221023001301 = 32569377171041793
BaseRepresentation
bin101101110000001001101011…
…100110001110101011010101
3222101110112122001211021202200
4231300021223212032223111
5202333301123342020201
61551543354541555113
760245511350504532
oct5560115346165325
9871415561737680
10201221023001301
115912a3a1732486
121a699b95575a99
1388380a4182c14
14379921424bd89
15183e34971c386
hexb7026b98ead5

201221023001301 has 24 divisors (see below), whose sum is σ = 291171400941720. Its totient is φ = 133907909861376.

The previous prime is 201221023001267. The next prime is 201221023001353. The reversal of 201221023001301 is 103100320122102.

201221023001301 is a `hidden beast` number, since 2 + 0 + 122 + 10 + 230 + 0 + 1 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29658153564900 + 171562869436401 = 5445930^2 + 13098201^2 .

It is a de Polignac number, because none of the positive numbers 2k-201221023001301 is a prime.

It is a super-2 number, since 2×2012210230013012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221023000301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192627861 + ... + 193669653.

It is an arithmetic number, because the mean of its divisors is an integer number (12132141705905).

Almost surely, 2201221023001301 is an apocalyptic number.

It is an amenable number.

201221023001301 is a deficient number, since it is larger than the sum of its proper divisors (89950377940419).

201221023001301 is a wasteful number, since it uses less digits than its factorization.

201221023001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080085 (or 1080082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201221023001301 its reverse (103100320122102), we get a palindrome (304321343123403).

The spelling of 201221023001301 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-three million, one thousand, three hundred one".

Divisors: 1 3 9 569 1707 5121 37717 113151 339453 1041793 3125379 9376137 21460973 64382919 193148757 592780217 1778340651 5335021953 39293306581 117879919743 353639759229 22357891444589 67073674333767 201221023001301