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121000222220013 = 3217790851125621
BaseRepresentation
bin11011100000110010001111…
…010000110101111011101101
3120212102111201112100101222100
4123200302033100311323231
5111324431423342020023
61105202422410205313
734325656206604023
oct3340621720657355
9525374645311870
10121000222220013
11356109a6a79304
12116a27a1723839
13526936c75c536
1421c4628c00713
15dec760664c43
hex6e0c8f435eed

121000222220013 has 12 divisors (see below), whose sum is σ = 185059163395548. Its totient is φ = 75921708059520.

The previous prime is 121000222219993. The next prime is 121000222220023. The reversal of 121000222220013 is 310022222000121.

121000222220013 is a `hidden beast` number, since 1 + 210 + 0 + 0 + 222 + 220 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35514424522404 + 85485797697609 = 5959398^2 + 9245853^2 .

It is not a de Polignac number, because 121000222220013 - 224 = 121000205442797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000222220023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395425562658 + ... + 395425562963.

It is an arithmetic number, because the mean of its divisors is an integer number (15421596949629).

Almost surely, 2121000222220013 is an apocalyptic number.

It is an amenable number.

121000222220013 is a deficient number, since it is larger than the sum of its proper divisors (64058941175535).

121000222220013 is a wasteful number, since it uses less digits than its factorization.

121000222220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790851125644 (or 790851125641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121000222220013 its reverse (310022222000121), we get a palindrome (431022444220134).

It can be divided in two parts, 121000222 and 220013, that added together give a triangular number (121220235 = T15570).

The spelling of 121000222220013 in words is "one hundred twenty-one trillion, two hundred twenty-two million, two hundred twenty thousand, thirteen".

Divisors: 1 3 9 17 51 153 790851125621 2372553376863 7117660130589 13444469135557 40333407406671 121000222220013