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121131000001 = 1150921634399
BaseRepresentation
bin111000011001111111…
…0000110000011000001
3102120122211100100211101
41300303332012003001
53441034014000001
6131351413414401
711515511340334
oct1606376060301
9376584310741
10121131000001
114740a323170
121b58663a401
13b56560023b
145c1163461b
15323e411a01
hex1c33f860c1

121131000001 has 8 divisors (see below), whose sum is σ = 132402528000. Its totient is φ = 109902741840.

The previous prime is 121130999987. The next prime is 121131000013. The reversal of 121131000001 is 100000131121.

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 121131000001 - 215 = 121130967233 is a prime.

It is a super-2 number, since 2×1211310000012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121131000061) 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, 10811601 + ... + 10822798.

It is an arithmetic number, because the mean of its divisors is an integer number (16550316000).

Almost surely, 2121131000001 is an apocalyptic number.

121131000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121131000001 is a deficient number, since it is larger than the sum of its proper divisors (11271527999).

121131000001 is a wasteful number, since it uses less digits than its factorization.

121131000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21634919.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 121131000001 its reverse (100000131121), we get a palindrome (221131131122).

The spelling of 121131000001 in words is "one hundred twenty-one billion, one hundred thirty-one million, one", and thus it is an aban number.

Divisors: 1 11 509 5599 21634399 237978389 11011909091 121131000001