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222121101102201 = 327294115119637693
BaseRepresentation
bin110010100000010010011001…
…010101000000110001111001
31002010110120101110000210221200
4302200102121111000301321
5213103213003340232301
62104225005233324413
764533501644253420
oct6240223125006171
91063416343023850
10222121101102201
1164858036983704
1220ab4683406709
1396c2c121698b2
143cbca0bdc22b7
151aa2d2d8aac86
hexca0499540c79

222121101102201 has 96 divisors (see below), whose sum is σ = 391145160107520. Its totient is φ = 118768761216000.

The previous prime is 222121101102193. The next prime is 222121101102221. The reversal of 222121101102201 is 102201101121222.

222121101102201 is a `hidden beast` number, since 2 + 221 + 2 + 110 + 110 + 220 + 1 = 666.

It is not a de Polignac number, because 222121101102201 - 23 = 222121101102193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222121101102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1492111 + ... + 21129803.

It is an arithmetic number, because the mean of its divisors is an integer number (4074428751120).

Almost surely, 2222121101102201 is an apocalyptic number.

222121101102201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222121101102201 is a deficient number, since it is larger than the sum of its proper divisors (169024059005319).

222121101102201 is a wasteful number, since it uses less digits than its factorization.

222121101102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19637927 (or 19637924 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222121101102201 its reverse (102201101121222), we get a palindrome (324322202223423).

The spelling of 222121101102201 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, one hundred two thousand, two hundred one".

Divisors: 1 3 7 9 21 29 41 63 87 123 151 203 261 287 369 453 609 861 1057 1189 1359 1827 2583 3171 3567 4379 6191 8323 9513 10701 13137 18573 24969 30653 39411 43337 55719 74907 91959 130011 179539 275877 390033 538617 1256773 1615851 3770319 11310957 19637693 58913079 137463851 176739237 412391553 569493097 805145413 1237174659 1708479291 2415436239 2965291643 3986451679 5125437873 5636017891 7246308717 8895874929 11959355037 16908053673 20757041501 23349216977 26687624787 35878065111 50724161019 62271124503 70047650931 85993457647 121576957363 163444518839 186813373509 210142952793 257980372941 364730872089 490333556517 601954203529 773941118823 851038701541 1094192616267 1471000669551 1805862610587 2553116104623 3525731763527 5417587831761 7659348313869 10577195290581 24680122344689 31731585871743 74040367034067 222121101102201