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135121101260121 = 32532269431248211
BaseRepresentation
bin11110101110010001010101…
…001111100000010101011001
3122201102110011212111211120100
4132232101111033200111121
5120202311003410310441
61155213435454450013
740314114565201134
oct3656212517402531
9581373155454510
10135121101260121
113a0655a0074939
12131a345b503909
135a51b32a35c02
142551c7923721b
151094c237a4cb6
hex7ae4553e0559

135121101260121 has 24 divisors (see below), whose sum is σ = 198858505337856. Its totient is φ = 88380637431840.

The previous prime is 135121101260029. The next prime is 135121101260137. The reversal of 135121101260121 is 121062101121531.

135121101260121 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 21 + 1 + 0 + 12 + 601 + 21 = 666.

It is not a de Polignac number, because 135121101260121 - 210 = 135121101259097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135121101260221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107627706 + ... + 108875916.

It is an arithmetic number, because the mean of its divisors is an integer number (8285771055744).

Almost surely, 2135121101260121 is an apocalyptic number.

It is an amenable number.

135121101260121 is a deficient number, since it is larger than the sum of its proper divisors (63737404077735).

135121101260121 is a wasteful number, since it uses less digits than its factorization.

135121101260121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475213 (or 1475210 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 135121101260121 its reverse (121062101121531), we get a palindrome (256183202381652).

The spelling of 135121101260121 in words is "one hundred thirty-five trillion, one hundred twenty-one billion, one hundred one million, two hundred sixty thousand, one hundred twenty-one".

Divisors: 1 3 9 53 159 477 226943 680829 1248211 2042487 3744633 11233899 12027979 36083937 66155183 108251811 198465549 595396647 283272748973 849818246919 2549454740757 15013455695569 45040367086707 135121101260121