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213213123222 = 231161101524347
BaseRepresentation
bin1100011010010001111…
…1100001001010010110
3202101100012002220001120
43012210133201022112
511443130024420342
6241540533104410
721255422434101
oct3064437411226
9671305086046
10213213123222
1182472282250
12353a4788106
131714b8c1498
14a468c87738
15582d473aec
hex31a47e1296

213213123222 has 64 divisors (see below), whose sum is σ = 477500652288. Its totient is φ = 62921520000.

The previous prime is 213213123217. The next prime is 213213123281. The reversal of 213213123222 is 222321312312.

It is a super-2 number, since 2×2132131232222 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213213123192 and 213213123201.

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, 144453 + ... + 668799.

It is an arithmetic number, because the mean of its divisors is an integer number (7460947692).

Almost surely, 2213213123222 is an apocalyptic number.

213213123222 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 213213123222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238750326144).

213213123222 is an abundant number, since it is smaller than the sum of its proper divisors (264287529066).

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

213213123222 is a wasteful number, since it uses less digits than its factorization.

213213123222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524525.

The product of its digits is 1728, while the sum is 24.

Adding to 213213123222 its reverse (222321312312), we get a palindrome (435534435534).

The spelling of 213213123222 in words is "two hundred thirteen billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 101 122 183 202 303 366 606 671 1111 1342 2013 2222 3333 4026 6161 6666 12322 18483 36966 67771 135542 203313 406626 524347 1048694 1573041 3146082 5767817 11535634 17303451 31985167 34606902 52959047 63970334 95955501 105918094 158877141 191911002 317754282 351836837 582549517 703673674 1055510511 1165099034 1747648551 2111021022 3230501867 3495297102 6461003734 9691505601 19383011202 35535520537 71071041074 106606561611 213213123222