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211220001330 = 2351331127713681
BaseRepresentation
bin1100010010110110110…
…0010111001000110010
3202012012021200210211020
43010231230113020302
511430034310020310
6241011053400310
721155141250102
oct3045554271062
9665167623736
10211220001330
118163a203278
1234b29199096
1316bc19b4a10
14a31a29d202
1557634be170
hex312db17232

211220001330 has 128 divisors (see below), whose sum is σ = 564015384576. Its totient is φ = 50272358400.

The previous prime is 211220001323. The next prime is 211220001347. The reversal of 211220001330 is 33100022112.

It is a super-2 number, since 2×2112200013302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15432090 + ... + 15445770.

It is an arithmetic number, because the mean of its divisors is an integer number (4406370192).

Almost surely, 2211220001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211220001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282007692288).

211220001330 is an abundant number, since it is smaller than the sum of its proper divisors (352795383246).

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

211220001330 is a wasteful number, since it uses less digits than its factorization.

211220001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 211220001330 its reverse (33100022112), we get a palindrome (244320023442).

The spelling of 211220001330 in words is "two hundred eleven billion, two hundred twenty million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 1277 2015 2418 2554 3831 4030 6045 6385 7662 12090 12770 13681 16601 19155 27362 33202 38310 39587 41043 49803 68405 79174 82086 83005 99606 118761 136810 166010 177853 197935 205215 237522 249015 355706 395870 410430 424111 498030 514631 533559 593805 848222 889265 1029262 1067118 1187610 1272333 1543893 1778530 2120555 2544666 2573155 2667795 3087786 4241110 5146310 5335590 5513443 6361665 7719465 11026886 12723330 15438930 16540329 17470637 27567215 33080658 34941274 52411911 55134430 82701645 87353185 104823822 165403290 174706370 227118281 262059555 454236562 524119110 541589747 681354843 1083179494 1135591405 1362709686 1624769241 2271182810 2707948735 3249538482 3406774215 5415897470 6813548430 7040666711 8123846205 14081333422 16247692410 21122000133 35203333555 42244000266 70406667110 105610000665 211220001330