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121013210102020 = 22526966134028989
BaseRepresentation
bin11011100000111110010101…
…011001101011100100000100
3120212110202020200100011200021
4123200332111121223210010
5111330140023241231040
61105212411245424524
734326626105021155
oct3340762531534404
9525422220304607
10121013210102020
1135616461327295
12116a520726b144
13526a65c47a612
1421c50dbad392c
15decc709c124a
hex6e0f9566b904

121013210102020 has 48 divisors (see below), whose sum is σ = 255458350249200. Its totient is φ = 48152379179520.

The previous prime is 121013210102009. The next prime is 121013210102039. The reversal of 121013210102020 is 20201012310121.

It can be written as a sum of positive squares in 8 ways, for example, as 21639466526976 + 99373743575044 = 4651824^2 + 9968638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121013210101985 and 121013210102003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13458315 + ... + 20570674.

It is an arithmetic number, because the mean of its divisors is an integer number (5322048963525).

Almost surely, 2121013210102020 is an apocalyptic number.

121013210102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121013210102020 is an abundant number, since it is smaller than the sum of its proper divisors (134445140147180).

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

121013210102020 is a wasteful number, since it uses less digits than its factorization.

121013210102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34029928 (or 34029926 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121013210102020 its reverse (20201012310121), we get a palindrome (141214222412141).

The spelling of 121013210102020 in words is "one hundred twenty-one trillion, thirteen billion, two hundred ten million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 269 538 661 1076 1322 1345 2644 2690 3305 5380 6610 13220 177809 355618 711236 889045 1778090 3556180 34028989 68057978 136115956 170144945 340289890 680579780 9153798041 18307596082 22493161729 36615192164 44986323458 45768990205 89972646916 91537980410 112465808645 183075960820 224931617290 449863234580 6050660505101 12101321010202 24202642020404 30253302525505 60506605051010 121013210102020