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202121110001010 = 235233765912013663
BaseRepresentation
bin101101111101001111111100…
…111101101001010101110010
3222111122120220200022102011110
4231331033330331221111302
5202443023013130013020
61553513053414054150
760400524345663534
oct5575177475512562
9874576820272143
10202121110001010
1159447099344462
121a80451294a356
1388a1c28980435
1437ca9dcddd854
1518579796d18e0
hexb7d3fcf69572

202121110001010 has 128 divisors (see below), whose sum is σ = 520651053711360. Its totient is φ = 50086014080256.

The previous prime is 202121110001003. The next prime is 202121110001071. The reversal of 202121110001010 is 10100011121202.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10817439 + ... + 22831101.

It is an arithmetic number, because the mean of its divisors is an integer number (4067586357120).

Almost surely, 2202121110001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202121110001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260325526855680).

202121110001010 is an abundant number, since it is smaller than the sum of its proper divisors (318529943710350).

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

202121110001010 is a wasteful number, since it uses less digits than its factorization.

202121110001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014392.

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

Adding to 202121110001010 its reverse (10100011121202), we get a palindrome (212221121122212).

The spelling of 202121110001010 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred ten million, one thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 659 690 851 1110 1318 1702 1977 2553 3295 3954 4255 5106 6590 8510 9885 12765 15157 19770 24383 25530 30314 45471 48766 73149 75785 90942 121915 146298 151570 227355 243830 365745 454710 560809 731490 1121618 1682427 2804045 3364854 5608090 8412135 12013663 16824270 24027326 36040989 60068315 72081978 120136630 180204945 276314249 360409890 444505531 552628498 828942747 889011062 1333516593 1381571245 1657885494 2222527655 2667033186 2763142490 4144713735 4445055310 6667582965 7917003917 8289427470 10223627213 13335165930 15834007834 20447254426 23751011751 30670881639 39585019585 47502023502 51118136065 61341763278 79170039170 102236272130 118755058755 153354408195 182091090091 237510117510 292929144929 306708816390 364182180182 546273270273 585858289858 878787434787 910455450455 1092546540546 1464645724645 1757574869574 1820910900910 2731366351365 2929291449290 4393937173935 5462732702730 6737370333367 8787874347870 13474740666734 20212111000101 33686851666835 40424222000202 67373703333670 101060555000505 202121110001010