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13111401420 = 223351313713633
BaseRepresentation
bin11000011011000000…
…00001101111001100
31020211202102012111000
430031200001233030
5203323004321140
610005010500300
7642625034055
oct141540015714
936752365430
1013111401420
115619053a47
12265ab94690
13130c4a7bc0
148c548772c
1551b109a30
hex30d801bcc

13111401420 has 192 divisors, whose sum is σ = 44252691840. Its totient is φ = 3203629056.

The previous prime is 13111401371. The next prime is 13111401461. The reversal of 13111401420 is 2410411131.

13111401420 is a `hidden beast` number, since 131 + 114 + 0 + 1 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13111401393 and 13111401402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954924 + ... + 968556.

It is an arithmetic number, because the mean of its divisors is an integer number (230482770).

Almost surely, 213111401420 is an apocalyptic number.

13111401420 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 13111401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126345920).

13111401420 is an abundant number, since it is smaller than the sum of its proper divisors (31141290420).

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

13111401420 is a wasteful number, since it uses less digits than its factorization.

13111401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13801 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13111401420 its reverse (2410411131), we get a palindrome (15521812551).

The spelling of 13111401420 in words is "thirteen billion, one hundred eleven million, four hundred one thousand, four hundred twenty".