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213114441342 = 231137281310571
BaseRepresentation
bin1100011001111010011…
…1000100111001111110
3202101002022102022222010
43012132213010321332
511442424244110332
6241523050032050
721253113601605
oct3063647047176
9671068368863
10213114441342
1182421601080
1235377718626
131713431c93a
14a459b1aa3c
15582497e9cc
hex319e9c4e7e

213114441342 has 64 divisors (see below), whose sum is σ = 479244895488. Its totient is φ = 62610912000.

The previous prime is 213114441311. The next prime is 213114441361. The reversal of 213114441342 is 243144411312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530917 + ... + 841487.

It is an arithmetic number, because the mean of its divisors is an integer number (7488201492).

Almost surely, 2213114441342 is an apocalyptic number.

213114441342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213114441342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239622447744).

213114441342 is an abundant number, since it is smaller than the sum of its proper divisors (266130454146).

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

213114441342 is a wasteful number, since it uses less digits than its factorization.

213114441342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310905.

The product of its digits is 9216, while the sum is 30.

Adding to 213114441342 its reverse (243144411312), we get a palindrome (456258852654).

It can be divided in two parts, 213114 and 441342, that added together give a palindrome (654456).

The spelling of 213114441342 in words is "two hundred thirteen billion, one hundred fourteen million, four hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 281 407 562 814 843 1221 1686 2442 3091 6182 9273 10397 18546 20794 31191 62382 114367 228734 310571 343101 621142 686202 931713 1863426 3416281 6832562 10248843 11491127 20497686 22982254 34473381 68946762 87270451 126402397 174540902 252804794 261811353 379207191 523622706 758414382 959974961 1919949922 2879924883 3229006687 5759849766 6458013374 9687020061 19374040122 35519073557 71038147114 106557220671 213114441342