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201101121210 = 2351110110358579
BaseRepresentation
bin1011101101001010001…
…1111001011010111010
3201020002002020102211110
42323102203321122322
511243323341334320
6232215022541150
720346321216633
oct2732243713272
9636062212743
10201101121210
1178317381930
1232b844377b6
1315c6b4a32a2
149a3a43288a
15536ee7c5e0
hex2ed28f96ba

201101121210 has 128 divisors (see below), whose sum is σ = 536903976960. Its totient is φ = 47799648000.

The previous prime is 201101121187. The next prime is 201101121239. The reversal of 201101121210 is 12121101102.

It is a super-2 number, since 2×2011011212102 (a number of 23 digits) contains 22 as substring.

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, 3403701 + ... + 3462279.

It is an arithmetic number, because the mean of its divisors is an integer number (4194562320).

Almost surely, 2201101121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268451988480).

201101121210 is an abundant number, since it is smaller than the sum of its proper divisors (335802855750).

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

201101121210 is a wasteful number, since it uses less digits than its factorization.

201101121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58804.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201101121210 its reverse (12121101102), we get a palindrome (213222222312).

The spelling of 201101121210 in words is "two hundred one billion, one hundred one million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 103 110 165 202 206 303 309 330 505 515 606 618 1010 1030 1111 1133 1515 1545 2222 2266 3030 3090 3333 3399 5555 5665 6666 6798 10403 11110 11330 16665 16995 20806 31209 33330 33990 52015 58579 62418 104030 114433 117158 156045 175737 228866 292895 312090 343299 351474 572165 585790 644369 686598 878685 1144330 1288738 1716495 1757370 1933107 3221845 3432990 3866214 5916479 6033637 6443690 9665535 11832958 12067274 17749437 18100911 19331070 29582395 30168185 35498874 36201822 59164790 60336370 65081269 66370007 88747185 90504555 130162538 132740014 177494370 181009110 195243807 199110021 325406345 331850035 390487614 398220042 609397337 650812690 663700070 976219035 995550105 1218794674 1828192011 1952438070 1991100210 3046986685 3656384022 6093973370 6703370707 9140960055 13406741414 18281920110 20110112121 33516853535 40220224242 67033707070 100550560605 201101121210