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201022101220100 = 225217311619774637
BaseRepresentation
bin101101101101010000011010…
…111011110110101100000100
3222100202112011212101210101212
4231231100122323312230010
5202322021230403020400
61551312140045510552
760225240031325546
oct5555203273665404
9870675155353355
10201022101220100
1159062aa3559aa6
121a66751ab72458
1388223c2359644
14378d743439696
1518390a5c7a335
hexb6d41aef6b04

201022101220100 has 36 divisors (see below), whose sum is σ = 438739450781604. Its totient is φ = 79944049495680.

The previous prime is 201022101220097. The next prime is 201022101220121. The reversal of 201022101220100 is 1022101220102.

It can be written as a sum of positive squares in 6 ways, for example, as 8687308235776 + 192334792984324 = 2947424^2 + 13868482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5809870019 + ... + 5809904618.

Almost surely, 2201022101220100 is an apocalyptic number.

201022101220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022101220100 is an abundant number, since it is smaller than the sum of its proper divisors (237717349561504).

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

201022101220100 is a wasteful number, since it uses less digits than its factorization.

201022101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619774824 (or 11619774817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201022101220100 its reverse (1022101220102), we get a palindrome (202044202440202).

The spelling of 201022101220100 in words is "two hundred one trillion, twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 11619774637 23239549274 46479098548 58098873185 116197746370 232395492740 290494365925 580988731850 1161977463700 2010221012201 4020442024402 8040884048804 10051105061005 20102210122010 40204420244020 50255525305025 100511050610050 201022101220100