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11220111032321 = 1753101933293671
BaseRepresentation
bin1010001101000110001010…
…1110111000000000000001
31110201122001211101122202202
42203101202232320000001
52432312241411013241
635510240422522545
72235424545115532
oct243214256700001
943648054348682
1011220111032321
113636471196384
121312648596455
1363508a125049
142ab0b05a2689
15146cda4ccd9b
hexa3462bb8001

11220111032321 has 32 divisors (see below), whose sum is σ = 12123090374400. Its totient is φ = 10344761589760.

The previous prime is 11220111032293. The next prime is 11220111032353. The reversal of 11220111032321 is 12323011102211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11220111032321 is a prime.

It is a super-2 number, since 2×112201110323212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220111032293 and 11220111032302.

It is not an unprimeable number, because it can be changed into a prime (11220111032021) 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, 3056416316 + ... + 3056419986.

It is an arithmetic number, because the mean of its divisors is an integer number (378846574200).

Almost surely, 211220111032321 is an apocalyptic number.

It is an amenable number.

11220111032321 is a deficient number, since it is larger than the sum of its proper divisors (902979342079).

11220111032321 is a wasteful number, since it uses less digits than its factorization.

11220111032321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8089.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11220111032321 its reverse (12323011102211), we get a palindrome (23543122134532).

The spelling of 11220111032321 in words is "eleven trillion, two hundred twenty billion, one hundred eleven million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 17 53 901 1019 3329 3671 17323 54007 56593 62407 176437 194563 918119 2999429 3307571 3392251 3740749 12220759 57668267 63592733 179789303 198259697 207752903 647700227 3056418151 3370414849 11010903859 12452953421 211700208157 660006531313 11220111032321