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1022202310020 = 2235193724234289
BaseRepresentation
bin11101110000000000000…
…00010110110110000100
310121201111000222122010120
432320000000112312010
5113221432242410040
62101332051021540
7133565061162603
oct16700000266604
93551430878116
101022202310020
11364571612041
1214613959a8b0
13755160033a8
143769100ba3a
151b8caa087d0
hexee00016d84

1022202310020 has 96 divisors (see below), whose sum is σ = 3094234147200. Its totient is φ = 251261097984.

The previous prime is 1022202310009. The next prime is 1022202310037. The reversal of 1022202310020 is 200132022201.

It is a happy number.

It is a super-3 number, since 3×10222023100203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 12074965 + ... + 12159324.

It is an arithmetic number, because the mean of its divisors is an integer number (32231605700).

Almost surely, 21022202310020 is an apocalyptic number.

1022202310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022202310020 is an abundant number, since it is smaller than the sum of its proper divisors (2072031837180).

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

1022202310020 is a wasteful number, since it uses less digits than its factorization.

1022202310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24234357 (or 24234355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1022202310020 its reverse (200132022201), we get a palindrome (1222334332221).

The spelling of 1022202310020 in words is "one trillion, twenty-two billion, two hundred two million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 42180 24234289 48468578 72702867 96937156 121171445 145405734 242342890 290811468 363514335 460451491 484685780 727028670 896668693 920902982 1381354473 1454057340 1793337386 1841805964 2302257455 2690006079 2762708946 3586674772 4483343465 4604514910 5380012158 5525417892 6906772365 8966686930 9209029820 10760024316 13450030395 13813544730 17036705167 17933373860 26900060790 27627089460 34073410334 51110115501 53800121580 68146820668 85183525835 102220231002 170367051670 204440462004 255550577505 340734103340 511101155010 1022202310020