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212133213320 = 23576176911777
BaseRepresentation
bin1100010110010000011…
…1111111010010001000
3202021112221001210011112
43011210013333102020
511433422100311240
6241241434545452
721216600363530
oct3054407772210
9667487053145
10212133213320
1181a68739a26
1235142b98288
1317008c55c42
14a3a56984c0
1557b875a665
hex31641ff488

212133213320 has 128 divisors (see below), whose sum is σ = 547468104960. Its totient is φ = 72467619840.

The previous prime is 212133213289. The next prime is 212133213323. The reversal of 212133213320 is 23312331212.

It is not an unprimeable number, because it can be changed into a prime (212133213323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119376272 + ... + 119378048.

It is an arithmetic number, because the mean of its divisors is an integer number (4277094570).

Almost surely, 2212133213320 is an apocalyptic number.

212133213320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212133213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273734052480).

212133213320 is an abundant number, since it is smaller than the sum of its proper divisors (335334891640).

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

212133213320 is a wasteful number, since it uses less digits than its factorization.

212133213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212133213320 its reverse (23312331212), we get a palindrome (235445544532).

The spelling of 212133213320 in words is "two hundred twelve billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 617 691 1234 1382 1777 2468 2764 3085 3455 3554 4319 4837 4936 5528 6170 6910 7108 8638 8885 9674 12340 12439 13820 14216 17276 17770 19348 21595 24185 24680 24878 27640 34552 35540 38696 43190 48370 49756 62195 71080 86380 96740 99512 124390 172760 193480 248780 426347 497560 852694 1096409 1227907 1705388 2131735 2192818 2455814 2984429 3410776 4263470 4385636 4911628 5482045 5968858 6139535 7674863 8526940 8595349 8771272 9823256 10964090 11937716 12279070 14922145 15349726 17053880 17190698 21928180 23875432 24558140 29844290 30699452 34381396 38374315 42976745 43856360 49116280 59688580 61398904 68762792 76748630 85953490 119377160 153497260 171906980 306994520 343813960 757618619 1515237238 3030474476 3788093095 5303330333 6060948952 7576186190 10606660666 15152372380 21213321332 26516651665 30304744760 42426642664 53033303330 106066606660 212133213320