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221232120331201 = 72231213530330517
BaseRepresentation
bin110010010011010110011101…
…111100011111101111000001
31002000022120202211212120011221
4302103112131330133233001
5212444131340301044301
62102304344422235041
764412331115344100
oct6223263574375701
91060276684776157
10221232120331201
1164545019465741
1220990325585a81
13965a13a5ab645
143c8b998274037
151a89b4d96ada1
hexc9359df1fbc1

221232120331201 has 48 divisors (see below), whose sum is σ = 268821727858944. Its totient is φ = 181193210706816.

The previous prime is 221232120331139. The next prime is 221232120331217. The reversal of 221232120331201 is 102133021232122.

It is a de Polignac number, because none of the positive numbers 2k-221232120331201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221232120331301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7249456195 + ... + 7249486711.

It is an arithmetic number, because the mean of its divisors is an integer number (5600452663728).

Almost surely, 2221232120331201 is an apocalyptic number.

It is an amenable number.

221232120331201 is a deficient number, since it is larger than the sum of its proper divisors (47589607527743).

221232120331201 is a wasteful number, since it uses less digits than its factorization.

221232120331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37070 (or 37063 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 221232120331201 its reverse (102133021232122), we get a palindrome (323365141563323).

The spelling of 221232120331201 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, one hundred twenty million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 7 23 49 161 1127 1213 5303 8491 27899 30517 37121 59437 121969 195293 213619 259847 701891 853783 1367051 1495333 4913237 5976481 6432539 34392659 37017121 45027773 147948397 161831651 259119847 315194411 851393783 1035638779 1132821557 1813838929 3722127973 5959756481 7249471453 7929750899 26054895811 41718295367 182384270677 196301792663 1374112548641 4514941231249 9618787840487 31604588618743 221232120331201