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13132221300 = 223252113735851
BaseRepresentation
bin11000011101011110…
…11100101101110100
31020220012120221222200
430032233130231310
5203343322040200
610011033024500
7643300016322
oct141657345564
936805527880
1013132221300
115629884260
122665b55130
1313138b7563
148c8146d12
1551cd6d800
hex30ebdcb74

13132221300 has 216 divisors, whose sum is σ = 46119152352. Its totient is φ = 3097440000.

The previous prime is 13132221299. The next prime is 13132221307. The reversal of 13132221300 is 312223131.

13132221300 is a `hidden beast` number, since 1 + 313 + 222 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132221307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348375 + ... + 384225.

Almost surely, 213132221300 is an apocalyptic number.

13132221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23059576176).

13132221300 is an abundant number, since it is smaller than the sum of its proper divisors (32986931052).

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

13132221300 is a wasteful number, since it uses less digits than its factorization.

13132221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35919 (or 35909 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13132221300 its reverse (312223131), we get a palindrome (13444444431).

It can be divided in two parts, 13132 and 221300, that added together give a palindrome (234432).

The spelling of 13132221300 in words is "thirteen billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred".