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213102212232 = 233713143967807
BaseRepresentation
bin1100011001110111100…
…0011011010010001000
3202101001110102000210010
43012131320123102020
511442413131242412
6241521531551520
721252604626330
oct3063570332210
9671043360703
10213102212232
1182415709178
12353735bb5a0
131713192a590
14a4582560c0
15582386633c
hex319de1b488

213102212232 has 128 divisors (see below), whose sum is σ = 656164454400. Its totient is φ = 56162896128.

The previous prime is 213102212209. The next prime is 213102212261. The reversal of 213102212232 is 232212201312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 213102212199 and 213102212208.

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, 3108873 + ... + 3176679.

It is an arithmetic number, because the mean of its divisors is an integer number (5126284800).

Almost surely, 2213102212232 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 213102212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328082227200).

213102212232 is an abundant number, since it is smaller than the sum of its proper divisors (443062242168).

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

213102212232 is a wasteful number, since it uses less digits than its factorization.

213102212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69275 (or 69271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213102212232 its reverse (232212201312), we get a palindrome (445314413544).

The spelling of 213102212232 in words is "two hundred thirteen billion, one hundred two million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1439 2184 2878 4317 5756 8634 10073 11512 17268 18707 20146 30219 34536 37414 40292 56121 60438 67807 74828 80584 112242 120876 130949 135614 149656 203421 224484 241752 261898 271228 392847 406842 448968 474649 523796 542456 785694 813684 881491 949298 1047592 1423947 1571388 1627368 1762982 1898596 2644473 2847894 3142776 3525964 3797192 5288946 5695788 6170437 7051928 10577892 11391576 12340874 18511311 21155784 24681748 37022622 49363496 74045244 97574273 148090488 195148546 292722819 390297092 585445638 683019911 780594184 1170891276 1268465549 1366039822 2049059733 2341782552 2536931098 2732079644 3805396647 4098119466 5073862196 5464159288 7610793294 8196238932 8879258843 10147724392 15221586588 16392477864 17758517686 26637776529 30443173176 35517035372 53275553058 71034070744 106551106116 213102212232