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11201211232321 = 1131532515034909
BaseRepresentation
bin1010001011111111110000…
…1101110111000001000001
31110122211021200002100012011
42202333330031313001001
52432010040033413241
635453433154332521
72234155312350025
oct242777415670101
943584250070164
1011201211232321
1136294527a8960
12130aa52b8a141
1363336766b136
142aa1da46c385
15146581137281
hexa2ffc377041

11201211232321 has 64 divisors (see below), whose sum is σ = 12931162030080. Its totient is φ = 9608882400000.

The previous prime is 11201211232313. The next prime is 11201211232357. The reversal of 11201211232321 is 12323211210211.

It is a happy number.

It is not a de Polignac number, because 11201211232321 - 23 = 11201211232313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11201211232292 and 11201211232301.

It is not an unprimeable number, because it can be changed into a prime (11201211232021) 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, 2281768015 + ... + 2281772923.

It is an arithmetic number, because the mean of its divisors is an integer number (202049406720).

Almost surely, 211201211232321 is an apocalyptic number.

11201211232321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201211232321 is a deficient number, since it is larger than the sum of its proper divisors (1729950797759).

11201211232321 is a wasteful number, since it uses less digits than its factorization.

11201211232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11201211232321 its reverse (12323211210211), we get a palindrome (23524422442532).

The spelling of 11201211232321 in words is "eleven trillion, two hundred one billion, two hundred eleven million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 31 53 251 341 503 583 1643 2761 4909 5533 7781 13303 15593 18073 26659 53999 85591 126253 146333 152179 171523 260177 293249 412393 826429 1232159 1388783 1673969 2469227 2861947 3913843 4536323 6691409 8065487 9090719 13553749 27161497 38196929 43052273 65304427 73605499 76546037 88720357 130869031 207433679 420166219 619775977 718348697 842006407 1439559341 2024437237 2281770469 4056939961 6817535747 19213055287 22268809607 32848126781 44626339571 211343608157 361329394591 1018291930211 11201211232321