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135054012420 = 22335250100023
BaseRepresentation
bin111110111000111011…
…0001011000000000100
3110220121010221200022000
41331301312023000010
54203042311344140
6142013140105300
712520523110305
oct1756166130004
9426533850260
10135054012420
11523045184a8
1222211395230
13c973c94c22
1467727ca7ac
1537a68d8a30
hex1f71d8b004

135054012420 has 48 divisors (see below), whose sum is σ = 420168040320. Its totient is φ = 36014403168.

The previous prime is 135054012397. The next prime is 135054012427. The reversal of 135054012420 is 24210450531.

135054012420 is a `hidden beast` number, since 13 + 5 + 0 + 5 + 401 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135054012427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125049472 + ... + 125050551.

It is an arithmetic number, because the mean of its divisors is an integer number (8753500840).

Almost surely, 2135054012420 is an apocalyptic number.

135054012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135054012420 is an abundant number, since it is smaller than the sum of its proper divisors (285114027900).

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

135054012420 is a wasteful number, since it uses less digits than its factorization.

135054012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250100041 (or 250100033 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 135054012420 its reverse (24210450531), we get a palindrome (159264462951).

The spelling of 135054012420 in words is "one hundred thirty-five billion, fifty-four million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 250100023 500200046 750300069 1000400092 1250500115 1500600138 2250900207 2501000230 3001200276 3751500345 4501800414 5002000460 6752700621 7503000690 9003600828 11254501035 13505401242 15006001380 22509002070 27010802484 33763503105 45018004140 67527006210 135054012420