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120534005400405 = 3583115798361211
BaseRepresentation
bin11011011010000000000010…
…100100110100001101010101
3120210202221100002011001222020
4123122000002210310031111
5111244312120340303110
61104204320241523353
734250203006200552
oct3332000244641525
9523687302131866
10120534005400405
1135451203808303
121162836a643559
13523440070233c
1421a9c3c659a29
15de0575852d70
hex6da002934355

120534005400405 has 32 divisors (see below), whose sum is σ = 195194835279360. Its totient is φ = 63504794633280.

The previous prime is 120534005400401. The next prime is 120534005400409. The reversal of 120534005400405 is 504004500435021.

It is an interprime number because it is at equal distance from previous prime (120534005400401) and next prime (120534005400409).

It is not a de Polignac number, because 120534005400405 - 22 = 120534005400401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120534005400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10235250 + ... + 18596460.

It is an arithmetic number, because the mean of its divisors is an integer number (6099838602480).

Almost surely, 2120534005400405 is an apocalyptic number.

120534005400405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120534005400405 is a deficient number, since it is larger than the sum of its proper divisors (74660829878955).

120534005400405 is a wasteful number, since it uses less digits than its factorization.

120534005400405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372881.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 120534005400405 its reverse (504004500435021), we get a palindrome (624538505835426).

The spelling of 120534005400405 in words is "one hundred twenty trillion, five hundred thirty-four billion, five million, four hundred thousand, four hundred five".

Divisors: 1 3 5 15 83 249 415 1245 11579 34737 57895 173685 961057 2883171 4805285 8361211 14415855 25083633 41806055 125418165 693980513 2081941539 3469902565 10409707695 96814462169 290443386507 484072310845 1452216932535 8035600360027 24106801080081 40178001800135 120534005400405