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221021001200021 = 1123103113360720809
BaseRepresentation
bin110010010000010001110110…
…010000111011000110010101
31001222120101211120222111012012
4302100101312100323012111
5212432202002301400041
62102023351330434005
764361145310342031
oct6220216620730625
91058511746874165
10221021001200021
1164473531198730
1220957426132905
139643263783509
143c8168b5511c1
151a843e42743eb
hexc9047643b195

221021001200021 has 64 divisors (see below), whose sum is σ = 256371230269440. Its totient is φ = 188580566845440.

The previous prime is 221021001199981. The next prime is 221021001200023. The reversal of 221021001200021 is 120002100120122.

It is not a de Polignac number, because 221021001200021 - 246 = 150652257022357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221021001199969 and 221021001200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021001200023) 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, 10621403465 + ... + 10621424273.

It is an arithmetic number, because the mean of its divisors is an integer number (4005800472960).

Almost surely, 2221021001200021 is an apocalyptic number.

It is an amenable number.

221021001200021 is a deficient number, since it is larger than the sum of its proper divisors (35350229069419).

221021001200021 is a wasteful number, since it uses less digits than its factorization.

221021001200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24666.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221021001200021 its reverse (120002100120122), we get a palindrome (341023101320143).

The spelling of 221021001200021 in words is "two hundred twenty-one trillion, twenty-one billion, one million, two hundred thousand, twenty-one".

Divisors: 1 11 23 103 113 253 1133 1243 2369 2599 3607 11639 20809 26059 28589 39677 82961 128029 228899 267697 371521 407591 478607 912571 2143327 2351417 2944667 4086731 4483501 5264677 8544983 9374593 23576597 25865587 41981873 49296521 54082591 75058063 93994813 103120523 242195951 461800603 542261731 594908501 825638693 965583079 1726335449 2664155461 5570506873 7730980489 8481561119 10621413869 18989689939 61275575603 85040785379 93297172309 177812551247 195075905737 873600795257 1955938063717 2145834963107 9609608747827 20092818290911 221021001200021