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213422423214 = 237111358136113
BaseRepresentation
bin1100011011000011110…
…1111011110010101110
3202101212202221102200010
43012300331323302232
511444042120020324
6242013411114050
721263543444130
oct3066075736256
9671782842603
10213422423214
118256a437450
12354428a2926
1317183083830
14a4889ab050
155841a18829
hex31b0f7bcae

213422423214 has 128 divisors (see below), whose sum is σ = 573298725888. Its totient is φ = 51153039360.

The previous prime is 213422423177. The next prime is 213422423273. The reversal of 213422423214 is 412324224312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34909822 + ... + 34915934.

It is an arithmetic number, because the mean of its divisors is an integer number (4478896296).

Almost surely, 2213422423214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213422423214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286649362944).

213422423214 is an abundant number, since it is smaller than the sum of its proper divisors (359876302674).

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

213422423214 is a wasteful number, since it uses less digits than its factorization.

213422423214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962.

The product of its digits is 18432, while the sum is 30.

Adding to 213422423214 its reverse (412324224312), we get a palindrome (625746647526).

It can be divided in two parts, 213422 and 423214, that added together give a palindrome (636636).

The spelling of 213422423214 in words is "two hundred thirteen billion, four hundred twenty-two million, four hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 5813 6006 6113 11626 12226 17439 18339 34878 36678 40691 42791 63943 67243 75569 79469 81382 85582 122073 127886 128373 134486 151138 158938 191829 201729 226707 238407 244146 256746 383658 403458 447601 453414 470701 476814 528983 556283 831259 874159 895202 941402 1057966 1112566 1342803 1412103 1586949 1662518 1668849 1748318 2493777 2622477 2685606 2824206 3173898 3337698 4987554 5244954 5818813 6119113 11637626 12238226 17456439 18357339 34912878 35534869 36714678 71069738 106604607 213209214 248744083 390883559 461953297 497488166 746232249 781767118 923906594 1172650677 1385859891 1492464498 2345301354 2736184913 2771719782 3233673079 5081486267 5472369826 6467346158 8208554739 9701019237 10162972534 15244458801 16417109478 19402038474 30488917602 35570403869 71140807738 106711211607 213422423214