Search a number
-
+
121135331614410 = 23251345948129049
BaseRepresentation
bin11011100010110000000100…
…011010010001111011001010
3120212220102110112111210001200
4123202300010122101323022
5111334140124343130120
61105344445245325030
734341511304525661
oct3342600432217312
9525812415453050
10121135331614410
1135663229783033
1211704a09566776
135279022045459
1421cada4ac5dd8
15e0101bd3ce90
hex6e2c04691eca

121135331614410 has 24 divisors (see below), whose sum is σ = 314951862197700. Its totient is φ = 32302755097152.

The previous prime is 121135331614403. The next prime is 121135331614447. The reversal of 121135331614410 is 14416133531121.

It is a happy number.

121135331614410 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 5 + 3 + 31 + 614 + 4 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116685818098641 + 4449513515769 = 10802121^2 + 2109387^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672974064435 + ... + 672974064614.

Almost surely, 2121135331614410 is an apocalyptic number.

121135331614410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121135331614410 is an abundant number, since it is smaller than the sum of its proper divisors (193816530583290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121135331614410 is a wasteful number, since it uses less digits than its factorization.

121135331614410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345948129062 (or 1345948129059 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 121135331614410 in words is "one hundred twenty-one trillion, one hundred thirty-five billion, three hundred thirty-one million, six hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1345948129049 2691896258098 4037844387147 6729740645245 8075688774294 12113533161441 13459481290490 20189221935735 24227066322882 40378443871470 60567665807205 121135331614410