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121010011331 = 1141268314881
BaseRepresentation
bin111000010110011000…
…0100011110011000011
3102120100101200111120112
41300230300203303003
53440312030330311
6131331412301535
711512512060566
oct1605460436303
9376311614515
10121010011331
1147357aa6630
121b5520118ab
13b54651b301
145bdd53c4dd
1532339b328b
hex1c2cc23cc3

121010011331 has 8 divisors (see below), whose sum is σ = 135230700528. Its totient is φ = 107325952000.

The previous prime is 121010011327. The next prime is 121010011417. The reversal of 121010011331 is 133110010121.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121010011331 - 22 = 121010011327 is a prime.

It is a super-3 number, since 3×1210100113313 (a number of 34 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 (121010011231) 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 7 ways as a sum of consecutive naturals, for example, 134156990 + ... + 134157891.

It is an arithmetic number, because the mean of its divisors is an integer number (16903837566).

Almost surely, 2121010011331 is an apocalyptic number.

121010011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121010011331 is a deficient number, since it is larger than the sum of its proper divisors (14220689197).

121010011331 is a wasteful number, since it uses less digits than its factorization.

121010011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268314933.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 121010011331 its reverse (133110010121), we get a palindrome (254120021452).

The spelling of 121010011331 in words is "one hundred twenty-one billion, ten million, eleven thousand, three hundred thirty-one".

Divisors: 1 11 41 451 268314881 2951463691 11000910121 121010011331