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220011332121 = 327101139248753
BaseRepresentation
bin1100110011100110110…
…0101000001000011001
3210000212222010200111100
43030321230220020121
512101040400111441
6245023302222013
721616041316110
oct3147154501031
9700788120440
10220011332121
1185340730209
1236781424909
1317993163ab9
14a911ab6c77
155aca1cccb6
hex3339b28219

220011332121 has 48 divisors (see below), whose sum is σ = 369429540480. Its totient is φ = 123579993600.

The previous prime is 220011332119. The next prime is 220011332141. The reversal of 220011332121 is 121233110022.

220011332121 is a `hidden beast` number, since 2 + 200 + 11 + 332 + 121 = 666.

It is not a de Polignac number, because 220011332121 - 21 = 220011332119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220011332094 and 220011332103.

It is not an unprimeable number, because it can be changed into a prime (220011332141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760081 + ... + 1008833.

It is an arithmetic number, because the mean of its divisors is an integer number (7696448760).

Almost surely, 2220011332121 is an apocalyptic number.

220011332121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220011332121 is a deficient number, since it is larger than the sum of its proper divisors (149418208359).

220011332121 is a wasteful number, since it uses less digits than its factorization.

220011332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249006 (or 249003 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220011332121 its reverse (121233110022), we get a palindrome (341244442143).

The spelling of 220011332121 in words is "two hundred twenty billion, eleven million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 101 139 303 417 707 909 973 1251 2121 2919 6363 8757 14039 42117 98273 126351 248753 294819 746259 884457 1741271 2238777 5223813 15671439 25124053 34576667 75372159 103730001 175868371 226116477 242036669 311190003 527605113 726110007 1582815339 2178330021 3492243367 10476730101 24445703569 31430190303 73337110707 220011332121