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13132239120 = 2432572111319137
BaseRepresentation
bin11000011101011111…
…00001000100010000
31020220012121212102200
430032233201010100
5203343323122440
610011033243200
7643300122300
oct141657410420
936805555380
1013132239120
115629896690
122665b63500
1313138c26c0
148c814d600
1551cd73c30
hex30ebe1110

13132239120 has 1440 divisors, whose sum is σ = 63907159680. Its totient is φ = 2368880640.

The previous prime is 13132239103. The next prime is 13132239163. The reversal of 13132239120 is 2193223131.

13132239120 is a `hidden beast` number, since 1 + 313 + 223 + 9 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95855692 + ... + 95855828.

It is an arithmetic number, because the mean of its divisors is an integer number (44379972).

Almost surely, 213132239120 is an apocalyptic number.

13132239120 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 13132239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31953579840).

13132239120 is an abundant number, since it is smaller than the sum of its proper divisors (50774920560).

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

13132239120 is a wasteful number, since it uses less digits than its factorization.

13132239120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

It can be divided in two parts, 13132 and 239120, that added together give a palindrome (252252).

The spelling of 13132239120 in words is "thirteen billion, one hundred thirty-two million, two hundred thirty-nine thousand, one hundred twenty".