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133021222022010 = 23572775639405527
BaseRepresentation
bin11110001111101101101010…
…101011111010101101111010
3122102222201000200020222112010
4132033231222223322231322
5114413404430314201020
61150525034503030350
740006315613161050
oct3617555253725572
9572881020228463
10133021222022010
1139425a8aa80173
1212b044a213b3b6
13592bb029c4a5a
1424bc3937a01d0
15105a2c1e93de0
hex78fb6aafab7a

133021222022010 has 128 divisors (see below), whose sum is σ = 366241225973760. Its totient is φ = 30289638829824.

The previous prime is 133021222021967. The next prime is 133021222022063. The reversal of 133021222022010 is 10220222120331.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 327817867 + ... + 328223393.

It is an arithmetic number, because the mean of its divisors is an integer number (2861259577920).

Almost surely, 2133021222022010 is an apocalyptic number.

133021222022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133021222022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183120612986880).

133021222022010 is an abundant number, since it is smaller than the sum of its proper divisors (233220003951750).

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

133021222022010 is a wasteful number, since it uses less digits than its factorization.

133021222022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411460.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 133021222022010 its reverse (10220222120331), we get a palindrome (143241444142341).

The spelling of 133021222022010 in words is "one hundred thirty-three trillion, twenty-one billion, two hundred twenty-two million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 554 831 1385 1662 1939 2770 3878 4155 5639 5817 8310 9695 11278 11634 16917 19390 28195 29085 33834 39473 56390 58170 78946 84585 118419 169170 197365 236838 394730 405527 592095 811054 1184190 1216581 1562003 2027635 2433162 2838689 3124006 4055270 4686009 5677378 6082905 7810015 8516067 9372018 10934021 12165810 14193445 15620030 17032134 21868042 23430045 28386890 32802063 42580335 46860090 54670105 65604126 85160670 109340210 112330979 164010315 224661958 328020630 336992937 561654895 673985874 786316853 1123309790 1572633706 1684964685 2286766753 2358950559 3369929370 3931584265 4573533506 4717901118 6860300259 7863168530 11433833765 11794752795 13720600518 16007367271 22867667530 23589505590 32014734542 34301501295 48022101813 68603002590 80036836355 96044203626 160073672710 240110509065 480221018130 633434390581 1266868781162 1900303171743 3167171952905 3800606343486 4434040734067 6334343905810 8868081468134 9501515858715 13302122202201 19003031717430 22170203670335 26604244404402 44340407340670 66510611011005 133021222022010