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13200122144 = 251137500347
BaseRepresentation
bin11000100101100100…
…11110000100100000
31021001221100200102202
430102302132010200
5204013212402034
610021500232332
7645053121056
oct142262360440
937057320382
1013200122144
115664141160
12268483b6a8
13132499c781
148d31801d6
15523cd247e
hex312c9e120

13200122144 has 24 divisors (see below), whose sum is σ = 28350263088. Its totient is φ = 6000055360.

The previous prime is 13200122137. The next prime is 13200122147. The reversal of 13200122144 is 44122100231.

It is not an unprimeable number, because it can be changed into a prime (13200122147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18749822 + ... + 18750525.

It is an arithmetic number, because the mean of its divisors is an integer number (1181260962).

Almost surely, 213200122144 is an apocalyptic number.

It is an amenable number.

13200122144 is an abundant number, since it is smaller than the sum of its proper divisors (15150140944).

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

13200122144 is a wasteful number, since it uses less digits than its factorization.

13200122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37500368 (or 37500360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13200122144 its reverse (44122100231), we get a palindrome (57322222375).

The spelling of 13200122144 in words is "thirteen billion, two hundred million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 37500347 75000694 150001388 300002776 412503817 600005552 825007634 1200011104 1650015268 3300030536 6600061072 13200122144