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221111020012001 = 71311634793088289
BaseRepresentation
bin110010010001100101101011…
…110011011100000111100001
31001222220000012011020221111112
4302101211223303130013201
5212440140332110341001
62102133000022153105
764400513125536020
oct6221455363340741
91058800164227445
10221111020012001
11644a8725498509
1220970969282795
13964b8ab461232
143c85b8ab488b7
151a869120b9cbb
hexc9196bcdc1e1

221111020012001 has 32 divisors (see below), whose sum is σ = 256724359372800. Its totient is φ = 186532842263040.

The previous prime is 221111020011919. The next prime is 221111020012123. The reversal of 221111020012001 is 100210020111122.

221111020012001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221111020012001 - 214 = 221111019995617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221111020011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70052465 + ... + 73140753.

It is an arithmetic number, because the mean of its divisors is an integer number (8022636230400).

Almost surely, 2221111020012001 is an apocalyptic number.

It is an amenable number.

221111020012001 is a deficient number, since it is larger than the sum of its proper divisors (35613339360799).

221111020012001 is a wasteful number, since it uses less digits than its factorization.

221111020012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089069.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221111020012001 its reverse (100210020111122), we get a palindrome (321321040123123).

The spelling of 221111020012001 in words is "two hundred twenty-one trillion, one hundred eleven billion, twenty million, twelve thousand, one".

Divisors: 1 7 131 163 479 917 1141 3353 21353 62749 78077 149471 439243 546539 3088289 10228087 21618023 71596609 404565859 503391107 1479290431 2831961013 3523737749 10355033017 65944235017 193787046461 241124340253 461609645119 1356509325227 1687870381771 31587288573143 221111020012001