Search a number
-
+
121113310331295 = 32518714877294953
BaseRepresentation
bin11011100010011011100011…
…110101110000000110011111
3120212211022121211120200122100
4123202123203311300012133
5111333310024421100140
61105330404153020143
734340101506645252
oct3342334365600637
9525738554520570
10121113310331295
11356549592a00a7
12117006a26b4653
135276c22981009
1421c9cb61a5099
15e0067d908530
hex6e26e3d7019f

121113310331295 has 48 divisors (see below), whose sum is σ = 210085719921792. Its totient is φ = 64545785525760.

The previous prime is 121113310331261. The next prime is 121113310331311. The reversal of 121113310331295 is 592133013311121.

121113310331295 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 3 + 31 + 0 + 331 + 295 = 666.

It is not a de Polignac number, because 121113310331295 - 221 = 121113308234143 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410471539 + ... + 410766491.

It is an arithmetic number, because the mean of its divisors is an integer number (4376785831704).

Almost surely, 2121113310331295 is an apocalyptic number.

121113310331295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121113310331295 is a deficient number, since it is larger than the sum of its proper divisors (88972409590497).

121113310331295 is a wasteful number, since it uses less digits than its factorization.

121113310331295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301712 (or 301709 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 121113310331295 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred ten million, three hundred thirty-one thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 45 1871 4877 5613 9355 14631 16839 24385 28065 43893 73155 84195 219465 294953 884859 1474765 2654577 4424295 9124867 13272885 27374601 45624335 82123803 136873005 410619015 551857063 1438485781 1655571189 2759285315 4315457343 4966713567 7192428905 8277855945 12946372029 21577286715 24833567835 64731860145 2691406896251 8074220688753 13457034481255 24222662066259 40371103443765 121113310331295