Search a number
-
+
213221310303414 = 23713788721417671
BaseRepresentation
bin110000011110110001110100…
…011101011000110010110110
31000221221202110201111211222010
4300132301310131120302312
5210421404220414202124
62033252303453545050
762624505560532540
oct6036616435306266
91027852421454863
10213221310303414
1161a36716aa8646
121bab78754a5186
1391c88b6245a4a
143a91d76056690
15199b59798e529
hexc1ec74758cb6

213221310303414 has 64 divisors (see below), whose sum is σ = 490927097797632. Its totient is φ = 60474873676800.

The previous prime is 213221310303401. The next prime is 213221310303479. The reversal of 213221310303414 is 414303013122312.

It is a super-2 number, since 2×2132213103034142 (a number of 29 digits) contains 22 as substring.

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, 510291799 + ... + 510709469.

It is an arithmetic number, because the mean of its divisors is an integer number (7670735903088).

Almost surely, 2213221310303414 is an apocalyptic number.

213221310303414 is an abundant number, since it is smaller than the sum of its proper divisors (277705787494218).

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

213221310303414 is a wasteful number, since it uses less digits than its factorization.

213221310303414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506541.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 213221310303414 its reverse (414303013122312), we get a palindrome (627524323425726).

The spelling of 213221310303414 in words is "two hundred thirteen trillion, two hundred twenty-one billion, three hundred ten million, three hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 137 274 411 822 959 1918 2877 5754 88721 177442 266163 417671 532326 621047 835342 1242094 1253013 1863141 2506026 2923697 3726282 5847394 8771091 12154777 17542182 24309554 36464331 57220927 72928662 85083439 114441854 170166878 171662781 255250317 343325562 400546489 510500634 801092978 1201639467 2403278934 37056188791 74112377582 111168566373 222337132746 259393321537 518786643074 778179964611 1556359929222 5076697864367 10153395728734 15230093593101 30460187186202 35536885050569 71073770101138 106610655151707 213221310303414