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212310201220 = 225132439371559
BaseRepresentation
bin1100010110111010101…
…1001001001110000100
3202022000021002200220221
43011232223021032010
511434302402414340
6241311200234124
721224146635325
oct3055653111604
9668007080827
10212310201220
1182049634617
123519230b944
1317036813b00
14a3c0daa44c
1557c906b44a
hex316eac9384

212310201220 has 144 divisors (see below), whose sum is σ = 494857883520. Its totient is φ = 76437623808.

The previous prime is 212310201157. The next prime is 212310201251. The reversal of 212310201220 is 22102013212.

It is a happy number.

It is a super-3 number, since 3×2123102012203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212310201194 and 212310201203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136182801 + ... + 136184359.

It is an arithmetic number, because the mean of its divisors is an integer number (3436513080).

Almost surely, 2212310201220 is an apocalyptic number.

212310201220 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 212310201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247428941760).

212310201220 is an abundant number, since it is smaller than the sum of its proper divisors (282547682300).

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

212310201220 is a wasteful number, since it uses less digits than its factorization.

212310201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212310201220 its reverse (22102013212), we get a palindrome (234412214432).

The spelling of 212310201220 in words is "two hundred twelve billion, three hundred ten million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 169 172 215 260 338 430 559 676 845 860 937 1118 1559 1690 1874 2236 2795 3118 3380 3748 4685 5590 6236 7267 7795 9370 11180 12181 14534 15590 18740 20267 24362 29068 31180 36335 40291 40534 48724 60905 67037 72670 80582 81068 101335 121810 134074 145340 158353 161164 201455 202670 243620 263471 268148 316706 335185 402910 405340 523783 526942 633412 670370 791765 805820 871481 1047566 1053884 1317355 1340740 1460783 1583530 1742962 2095132 2618915 2634710 2921566 3167060 3485924 4357405 5237830 5269420 5843132 6809179 7303915 8714810 10475660 11329253 13618358 14607830 17429620 18990179 22658506 27236716 29215660 34045895 37980358 45317012 56646265 62813669 68091790 75960716 94950895 113292530 125627338 136183580 189901790 226585060 246872327 251254676 314068345 379803580 493744654 628136690 816577697 987489308 1234361635 1256273380 1633155394 2468723270 3266310788 4082888485 4937446540 8165776970 10615510061 16331553940 21231020122 42462040244 53077550305 106155100610 212310201220