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13611105420 = 2235111710112011
BaseRepresentation
bin11001010110100100…
…01111110010001100
31022010120200210111120
430223102033302030
5210333420333140
610130341120540
7661203326043
oct145322176214
938116623446
1013611105420
115855128a60
12277a3b9150
13138bb88343
149319a355a
15549e151d0
hex32b48fc8c

13611105420 has 192 divisors, whose sum is σ = 44460928512. Its totient is φ = 3074560000.

The previous prime is 13611105419. The next prime is 13611105433. The reversal of 13611105420 is 2450111631.

It is a happy number.

13611105420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1127215 + ... + 1139225.

It is an arithmetic number, because the mean of its divisors is an integer number (231567336).

Almost surely, 213611105420 is an apocalyptic number.

13611105420 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 13611105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230464256).

13611105420 is an abundant number, since it is smaller than the sum of its proper divisors (30849823092).

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

13611105420 is a wasteful number, since it uses less digits than its factorization.

13611105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 13611105420 in words is "thirteen billion, six hundred eleven million, one hundred five thousand, four hundred twenty".