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10020211100010 = 2335297916198993
BaseRepresentation
bin1001000111010000001100…
…0111111000100101101010
31022110220220201222111212000
42101310003013320211222
52303132343020200020
633151115455031430
72052636113016156
oct221640307704552
938426821874760
1010020211100010
113213602a37661
121159b9850b576
13578b954a58b7
14268da3486066
151259ae4ac090
hex91d031f896a

10020211100010 has 128 divisors (see below), whose sum is σ = 27991861632000. Its totient is φ = 2547259094016.

The previous prime is 10020211099907. The next prime is 10020211100059. The reversal of 10020211100010 is 1000111202001.

It is a happy number.

It is a super-2 number, since 2×100202111000102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020211099965 and 10020211100001.

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, 7480927 + ... + 8718066.

It is an arithmetic number, because the mean of its divisors is an integer number (218686419000).

Almost surely, 210020211100010 is an apocalyptic number.

10020211100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10020211100010 is an abundant number, since it is smaller than the sum of its proper divisors (17971650531990).

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

10020211100010 is a wasteful number, since it uses less digits than its factorization.

10020211100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16199117 (or 16199111 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020211100010 its reverse (1000111202001), we get a palindrome (11020322302011).

The spelling of 10020211100010 in words is "ten trillion, twenty billion, two hundred eleven million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 79 87 90 135 145 158 174 237 261 270 290 395 435 474 522 711 783 790 870 1185 1305 1422 1566 2133 2291 2370 2610 3555 3915 4266 4582 6873 7110 7830 10665 11455 13746 20619 21330 22910 34365 41238 61857 68730 103095 123714 206190 309285 618570 16198993 32397986 48596979 80994965 97193958 145790937 161989930 242984895 291581874 437372811 469770797 485969790 728954685 874745622 939541594 1279720447 1409312391 1457909370 2186864055 2348853985 2559440894 2818624782 3839161341 4227937173 4373728110 4697707970 6398602235 7046561955 7678322682 8455874346 11517484023 12683811519 12797204470 14093123910 19195806705 21139685865 23034968046 25367623038 34552452069 37111892963 38391613410 42279371730 57587420115 63419057595 69104904138 74223785926 111335678889 115174840230 126838115190 172762260345 185559464815 222671357778 334007036667 345524520690 371118929630 556678394445 668014073334 1002021110001 1113356788890 1670035183335 2004042220002 3340070366670 5010105550005 10020211100010