Search a number
-
+
213444430120 = 23583167384973
BaseRepresentation
bin1100011011001001000…
…1111000100100101000
3202101221022100111110201
43012302101320210220
511444113233230440
6242015514521544
721264231502165
oct3066221704450
9671838314421
10213444430120
11825808a8579
123544a1362b4
13171877ba57c
14a48b89906c
15584391419a
hex31b2478928

213444430120 has 64 divisors (see below), whose sum is σ = 488947777920. Its totient is φ = 83843821824.

The previous prime is 213444430079. The next prime is 213444430123. The reversal of 213444430120 is 21034444312.

It is not an unprimeable number, because it can be changed into a prime (213444430123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361954 + ... + 746926.

It is an arithmetic number, because the mean of its divisors is an integer number (7639809030).

Almost surely, 2213444430120 is an apocalyptic number.

213444430120 is a gapful number since it is divisible by the number (20) 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 213444430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244473888960).

213444430120 is an abundant number, since it is smaller than the sum of its proper divisors (275503347800).

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

213444430120 is a wasteful number, since it uses less digits than its factorization.

213444430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385234 (or 385230 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213444430120 its reverse (21034444312), we get a palindrome (234478874432).

The spelling of 213444430120 in words is "two hundred thirteen billion, four hundred forty-four million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 167 332 334 415 664 668 830 835 1336 1660 1670 3320 3340 6680 13861 27722 55444 69305 110888 138610 277220 384973 554440 769946 1539892 1924865 3079784 3849730 7699460 15398920 31952759 63905518 64290491 127811036 128580982 159763795 255622072 257161964 319527590 321452455 514323928 639055180 642904910 1278110360 1285809820 2571619640 5336110753 10672221506 21344443012 26680553765 42688886024 53361107530 106722215060 213444430120