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221121011331 = 32112233545569
BaseRepresentation
bin1100110111101111010…
…1101101111010000011
3210010202022012020012100
43031323311231322003
512110323434330311
6245325342401443
721655404404343
oct3157365557203
9703668166170
10221121011331
1185860056670
1236a30b90283
1317b0c02330c
14a9b9214d23
155b42826a56
hex337bd6de83

221121011331 has 12 divisors (see below), whose sum is σ = 348433108920. Its totient is φ = 134012734080.

The previous prime is 221121011329. The next prime is 221121011333. The reversal of 221121011331 is 133110121122.

221121011331 is a `hidden beast` number, since 221 + 12 + 101 + 1 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (221121011329) and next prime (221121011333).

It is not a de Polignac number, because 221121011331 - 21 = 221121011329 is a prime.

It is a super-3 number, since 3×2211210113313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (221121011333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116772686 + ... + 1116772883.

It is an arithmetic number, because the mean of its divisors is an integer number (29036092410).

Almost surely, 2221121011331 is an apocalyptic number.

221121011331 is a deficient number, since it is larger than the sum of its proper divisors (127312097589).

221121011331 is a wasteful number, since it uses less digits than its factorization.

221121011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233545586 (or 2233545583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 221121011331 its reverse (133110121122), we get a palindrome (354231132453).

The spelling of 221121011331 in words is "two hundred twenty-one billion, one hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 2233545569 6700636707 20101910121 24569001259 73707003777 221121011331