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13354122024 = 233420608213
BaseRepresentation
bin11000110111111011…
…11011101100101000
31021110200010200120000
430123331323230220
5204322123401044
610045041103000
7651633110235
oct143375735450
937420120500
1013354122024
115733065591
122708327a60
13134a86c169
149097ca78c
155325a1d69
hex31bf7bb28

13354122024 has 40 divisors (see below), whose sum is σ = 37403908410. Its totient is φ = 4451373792.

The previous prime is 13354121987. The next prime is 13354122109. The reversal of 13354122024 is 42022145331.

13354122024 is a `hidden beast` number, since 13 + 35 + 412 + 202 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9152748900 + 4201373124 = 95670^2 + 64818^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10303459 + ... + 10304754.

Almost surely, 213354122024 is an apocalyptic number.

It is an amenable number.

13354122024 is an abundant number, since it is smaller than the sum of its proper divisors (24049786386).

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

13354122024 is a wasteful number, since it uses less digits than its factorization.

13354122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20608231 (or 20608218 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13354122024 its reverse (42022145331), we get a palindrome (55376267355).

The spelling of 13354122024 in words is "thirteen billion, three hundred fifty-four million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20608213 41216426 61824639 82432852 123649278 164865704 185473917 247298556 370947834 494597112 556421751 741895668 1112843502 1483791336 1669265253 2225687004 3338530506 4451374008 6677061012 13354122024