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11312001201221 = 75939097700561
BaseRepresentation
bin1010010010011100011111…
…0100000011010001000101
31111001102020210221220011122
42210213013310003101011
52440313434301414341
640020354524043325
72245156635504560
oct244470764032105
944042223856148
1011312001201221
113671435858326
121328412393545
13640942718156
142b170a5294d7
151493b777494b
hexa49c7d03445

11312001201221 has 16 divisors (see below), whose sum is σ = 13147475076480. Its totient is φ = 9531404628480.

The previous prime is 11312001201167. The next prime is 11312001201233. The reversal of 11312001201221 is 12210210021311.

It is a happy number.

It is not a de Polignac number, because 11312001201221 - 218 = 11312000939077 is a prime.

It is a super-2 number, since 2×113120012012212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11312001201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312001209221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15796781 + ... + 16497341.

It is an arithmetic number, because the mean of its divisors is an integer number (821717192280).

Almost surely, 211312001201221 is an apocalyptic number.

It is an amenable number.

11312001201221 is a deficient number, since it is larger than the sum of its proper divisors (1835473875259).

11312001201221 is an equidigital number, since it uses as much as digits as its factorization.

11312001201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739724.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11312001201221 its reverse (12210210021311), we get a palindrome (23522211222532).

The spelling of 11312001201221 in words is "eleven trillion, three hundred twelve billion, one million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 59 413 39097 273679 700561 2306723 4903927 16147061 41333099 289331693 27389833417 191728833919 1616000171603 11312001201221