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13211323120 = 245293563623
BaseRepresentation
bin11000100110111010…
…01100101011110000
31021002201102202021201
430103131030223300
5204024044314440
610022540300544
7645250252012
oct142335145360
937081382251
1013211323120
11566a4a1666
122688541754
1313270c1b78
148d48581b2
15524c9619a
hex31374caf0

13211323120 has 40 divisors (see below), whose sum is σ = 30821214816. Its totient is φ = 5266483968.

The previous prime is 13211323009. The next prime is 13211323127. The reversal of 13211323120 is 2132311231.

13211323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211323127) 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 7 ways as a sum of consecutive naturals, for example, 258372 + ... + 305251.

Almost surely, 213211323120 is an apocalyptic number.

13211323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211323120 is an abundant number, since it is smaller than the sum of its proper divisors (17609891696).

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

13211323120 is a wasteful number, since it uses less digits than its factorization.

13211323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563929 (or 563923 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13211323120 its reverse (2132311231), we get a palindrome (15343634351).

The spelling of 13211323120 in words is "thirteen billion, two hundred eleven million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293 586 1172 1465 2344 2930 4688 5860 11720 23440 563623 1127246 2254492 2818115 4508984 5636230 9017968 11272460 22544920 45089840 165141539 330283078 660566156 825707695 1321132312 1651415390 2642264624 3302830780 6605661560 13211323120