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200101222032201 = 3373159578860921
BaseRepresentation
bin101101011111110110110010…
…010000100010001101001001
3222020111111020012202001212000
4231133312302100202031021
5202211424300320012301
61545325122104541213
760101556551353230
oct5537666220421511
9866444205661760
10200101222032201
11588384a7233316
121a538b5a481809
1387866060081a9
14375ad450abb17
15182015a717786
hexb5fdb2422349

200101222032201 has 64 divisors (see below), whose sum is σ = 355652150476800. Its totient is φ = 108779544086400.

The previous prime is 200101222032167. The next prime is 200101222032223. The reversal of 200101222032201 is 102230222101002.

200101222032201 is a `hidden beast` number, since 20 + 0 + 101 + 2 + 220 + 322 + 0 + 1 = 666.

200101222032201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200101222032201 - 237 = 199963783078729 is a prime.

It is a super-3 number, since 3×2001012220322013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (200101222037201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289084780 + ... + 289776141.

It is an arithmetic number, because the mean of its divisors is an integer number (5557064851200).

Almost surely, 2200101222032201 is an apocalyptic number.

200101222032201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200101222032201 is a deficient number, since it is larger than the sum of its proper divisors (155550928444599).

200101222032201 is a wasteful number, since it uses less digits than its factorization.

200101222032201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578861027 (or 578861021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200101222032201 its reverse (102230222101002), we get a palindrome (302331444133203).

The spelling of 200101222032201 in words is "two hundred trillion, one hundred one billion, two hundred twenty-two million, thirty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 27 31 59 63 93 177 189 217 279 413 531 651 837 1239 1593 1829 1953 3717 5487 5859 11151 12803 16461 38409 49383 115227 345681 578860921 1736582763 4052026447 5209748289 12156079341 15629244867 17944688551 34152794339 36468238023 53834065653 102458383017 109404714069 125612819857 161502196959 239069560373 307375149051 376838459571 484506590877 717208681119 922125447153 1058736624509 1130515378713 2151626043357 3176209873527 3391546136139 6454878130071 7411156371563 9528629620581 22233469114689 28585888861743 66700407344067 200101222032201