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13214306124 = 22321943344617
BaseRepresentation
bin11000100111010001…
…00100111101001100
31021002221001022012100
430103220210331030
5204030330243444
610023124235100
7645314514555
oct142350447514
937087038170
1013214306124
115671149858
12268953ba90
1313278c7866
148d4dd332c
15525184e69
hex313a24f4c

13214306124 has 72 divisors (see below), whose sum is σ = 35242865840. Its totient is φ = 4163208192.

The previous prime is 13214306123. The next prime is 13214306179. The reversal of 13214306124 is 42160341231.

It is a happy number.

13214306124 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 43 + 0 + 612 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13214306123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273864 + ... + 318480.

Almost surely, 213214306124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214306124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621432920).

13214306124 is an abundant number, since it is smaller than the sum of its proper divisors (22028559716).

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

13214306124 is a wasteful number, since it uses less digits than its factorization.

13214306124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45079 (or 45074 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13214306124 its reverse (42160341231), we get a palindrome (55374647355).

The spelling of 13214306124 in words is "thirteen billion, two hundred fourteen million, three hundred six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 433 684 866 1299 1732 2598 3897 5196 7794 8227 15588 16454 24681 32908 44617 49362 74043 89234 98724 133851 148086 178468 267702 296172 401553 535404 803106 847723 1606212 1695446 2543169 3390892 5086338 7629507 10172676 15259014 19319161 30518028 38638322 57957483 77276644 115914966 173872449 231829932 347744898 367064059 695489796 734128118 1101192177 1468256236 2202384354 3303576531 4404768708 6607153062 13214306124