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213122232232 = 237131799117377
BaseRepresentation
bin1100011001111100010…
…0110010111110101000
3202101002212002011001121
43012133010302332220
511442433242412412
6241523525025024
721253240040560
oct3063704627650
9671085064047
10213122232232
1182425a42528
123537a255174
1317135b19b30
14a45ab87da0
1558254bd107
hex319f132fa8

213122232232 has 128 divisors (see below), whose sum is σ = 521306634240. Its totient is φ = 79267921920.

The previous prime is 213122232223. The next prime is 213122232287. The reversal of 213122232232 is 232232221312.

It is a junction number, because it is equal to n+sod(n) for n = 213122232197 and 213122232206.

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, 12255928 + ... + 12273304.

It is an arithmetic number, because the mean of its divisors is an integer number (4072708080).

Almost surely, 2213122232232 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 213122232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260653317120).

213122232232 is an abundant number, since it is smaller than the sum of its proper divisors (308184402008).

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

213122232232 is a wasteful number, since it uses less digits than its factorization.

213122232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18411 (or 18407 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

Adding to 213122232232 its reverse (232232221312), we get a palindrome (445354453544).

The spelling of 213122232232 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 991 1547 1768 1982 3094 3964 6188 6937 7928 12376 12883 13874 16847 17377 25766 27748 33694 34754 51532 55496 67388 69508 90181 103064 117929 121639 134776 139016 180362 219011 225901 235858 243278 295409 360724 438022 451802 471716 486556 590818 721448 876044 903604 943432 973112 1181636 1533077 1581307 1752088 1807208 2067863 2363272 3066154 3162614 3840317 4135726 6132308 6325228 7680634 8271452 12264616 12650456 15361268 16542904 17220607 26882219 30722536 34441214 53764438 68882428 107528876 120544249 137764856 215057752 223867891 241088498 292750319 447735782 482176996 585500638 895471564 964353992 1171001276 1567075237 1790943128 2049252233 2342002552 3134150474 3805754147 4098504466 6268300948 7611508294 8197008932 12536601896 15223016588 16394017864 26640279029 30446033176 53280558058 106561116116 213122232232