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13214330120 = 2354715146549
BaseRepresentation
bin11000100111010001…
…01010110100001000
31021002221002112010002
430103220222310020
5204030332030440
610023124542132
7645314644535
oct142350526410
937087075102
1013214330120
115671165892
122689551948
131327905764
148d4ddbd8c
1552518c115
hex313a2ad08

13214330120 has 64 divisors (see below), whose sum is σ = 30566592000. Its totient is φ = 5138899200.

The previous prime is 13214330117. The next prime is 13214330137. The reversal of 13214330120 is 2103341231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13214330092 and 13214330101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260606 + ... + 307154.

It is an arithmetic number, because the mean of its divisors is an integer number (477603000).

Almost surely, 213214330120 is an apocalyptic number.

13214330120 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 13214330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296000).

13214330120 is an abundant number, since it is smaller than the sum of its proper divisors (17352261880).

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

13214330120 is a wasteful number, since it uses less digits than its factorization.

13214330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46758 (or 46754 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13214330120 its reverse (2103341231), we get a palindrome (15317671351).

The spelling of 13214330120 in words is "thirteen billion, two hundred fourteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 151 188 235 302 376 470 604 755 940 1208 1510 1880 3020 6040 7097 14194 28388 35485 46549 56776 70970 93098 141940 186196 232745 283880 372392 465490 930980 1861960 2187803 4375606 7028899 8751212 10939015 14057798 17502424 21878030 28115596 35144495 43756060 56231192 70288990 87512120 140577980 281155960 330358253 660716506 1321433012 1651791265 2642866024 3303582530 6607165060 13214330120