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2211121101021 = 37253333185201
BaseRepresentation
bin100000001011010001000…
…101100111100011011101
321211101021211110000001220
4200023101011213203131
5242211334000213041
64411435222523553
7315514433153100
oct40132105474335
97741254400056
102211121101021
11782805243868
122b8643b965b9
1313067a8cbca1
1479039966737
153c7b2962d66
hex202d11678dd

2211121101021 has 48 divisors (see below), whose sum is σ = 3495291403968. Its totient is φ = 1239271488000.

The previous prime is 2211121100987. The next prime is 2211121101031. The reversal of 2211121101021 is 1201011211122.

It is a happy number.

It is not a de Polignac number, because 2211121101021 - 26 = 2211121100957 is a prime.

It is a super-3 number, since 3×22111211010213 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211121101031) 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 47 ways as a sum of consecutive naturals, for example, 25909221 + ... + 25994421.

It is an arithmetic number, because the mean of its divisors is an integer number (72818570916).

Almost surely, 22211121101021 is an apocalyptic number.

2211121101021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2211121101021 is a deficient number, since it is larger than the sum of its proper divisors (1284170302947).

2211121101021 is a wasteful number, since it uses less digits than its factorization.

2211121101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88602 (or 88595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2211121101021 its reverse (1201011211122), we get a palindrome (3412132312143).

The spelling of 2211121101021 in words is "two trillion, two hundred eleven billion, one hundred twenty-one million, one hundred one thousand, twenty-one".

Divisors: 1 3 7 21 49 53 147 159 371 1113 2597 3331 7791 9993 23317 69951 85201 163219 176543 255603 489657 529629 596407 1235801 1789221 3707403 4174849 4515653 8650607 12524547 13546959 25951821 31609571 94828713 221266997 283804531 663800991 851413593 1986631717 5959895151 13906422019 15041640143 41719266057 45124920429 105291481001 315874443003 737040367007 2211121101021