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13200134328 = 2333193216407
BaseRepresentation
bin11000100101100101…
…00001000010111000
31021001221101022011000
430102302201002320
5204013213244303
610021500405000
7645053201433
oct142262410270
937057338130
1013200134328
11566414a327
122684846760
1313249a5194
148d318481a
15523cd5da3
hex312ca10b8

13200134328 has 64 divisors (see below), whose sum is σ = 38596896000. Its totient is φ = 4168462176.

The previous prime is 13200134291. The next prime is 13200134371. The reversal of 13200134328 is 82343100231.

13200134328 is a `hidden beast` number, since 1 + 3 + 200 + 134 + 328 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604100 + ... + 1612307.

It is an arithmetic number, because the mean of its divisors is an integer number (603076500).

Almost surely, 213200134328 is an apocalyptic number.

13200134328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13200134328 is an abundant number, since it is smaller than the sum of its proper divisors (25396761672).

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

13200134328 is a wasteful number, since it uses less digits than its factorization.

13200134328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216441 (or 3216431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13200134328 its reverse (82343100231), we get a palindrome (95543234559).

The spelling of 13200134328 in words is "thirteen billion, two hundred million, one hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 3216407 6432814 9649221 12865628 19298442 25731256 28947663 38596884 57895326 61111733 77193768 86842989 115790652 122223466 173685978 183335199 231581304 244446932 347371956 366670398 488893864 550005597 694743912 733340796 1100011194 1466681592 1650016791 2200022388 3300033582 4400044776 6600067164 13200134328