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221021200111101 = 313257102122439629
BaseRepresentation
bin110010010000010010000010…
…000111101101010111111101
31001222120102100110021012220020
4302100102002013231113331
5212432202404212023401
62102023423154042353
764361153244142515
oct6220220207552775
91058512313235806
10221021200111101
11644736234a7555
12209574808793b9
139643295a48c90
143c816a9b2c845
151a84406965d36
hexc904821ed5fd

221021200111101 has 64 divisors (see below), whose sum is σ = 319086013720320. Its totient is φ = 135276721274880.

The previous prime is 221021200111099. The next prime is 221021200111141. The reversal of 221021200111101 is 101111002120122.

It is a happy number.

It is not a de Polignac number, because 221021200111101 - 21 = 221021200111099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021200111141) 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, 22953697555 + ... + 22953707183.

It is an arithmetic number, because the mean of its divisors is an integer number (4985718964380).

Almost surely, 2221021200111101 is an apocalyptic number.

It is an amenable number.

221021200111101 is a deficient number, since it is larger than the sum of its proper divisors (98064813609219).

221021200111101 is a wasteful number, since it uses less digits than its factorization.

221021200111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221021200111101 its reverse (101111002120122), we get a palindrome (322132202231223).

The spelling of 221021200111101 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 13 39 257 771 1021 2243 3063 3341 6729 9629 10023 13273 28887 29159 39819 87477 125177 262397 375531 576451 787191 1729353 2290103 2474653 3411161 6870309 7423959 7493863 9831209 10233483 21597847 22481589 29493627 29771339 32170489 64793541 89314017 96511467 127805717 280772011 383417151 588556471 842316033 1765669413 2526620713 5550646679 7579862139 7651234123 16651940037 22051401787 22953702369 32846069269 66154205361 72158406827 98538207807 216475220481 286668223231 860004669693 5667210259259 17001630777777 73673733370367 221021200111101