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2010131121020 = 2251175199712203
BaseRepresentation
bin11101010000000101001…
…001101100001101111100
321010011111111100010022112
4131100011021230031330
5230413222031333040
64135235210033152
7265140631420031
oct35200511541574
97104444303275
102010131121020
11705545682a80
122856b0a187b8
13117729470639
146d4101c5388
153744c63b365
hex1d40526c37c

2010131121020 has 96 divisors (see below), whose sum is σ = 4616162804736. Its totient is φ = 729191520000.

The previous prime is 2010131121001. The next prime is 2010131121043. The reversal of 2010131121020 is 201211310102.

It is a junction number, because it is equal to n+sod(n) for n = 2010131120986 and 2010131121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164718239 + ... + 164730441.

It is an arithmetic number, because the mean of its divisors is an integer number (48085029216).

Almost surely, 22010131121020 is an apocalyptic number.

2010131121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010131121020 is an abundant number, since it is smaller than the sum of its proper divisors (2606031683716).

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

2010131121020 is a wasteful number, since it uses less digits than its factorization.

2010131121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13971 (or 13969 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2010131121020 its reverse (201211310102), we get a palindrome (2211342431122).

The spelling of 2010131121020 in words is "two trillion, ten billion, one hundred thirty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 751 997 1502 1994 3004 3755 3988 4985 7510 8261 9970 10967 12203 15020 16522 19940 21934 24406 33044 41305 43868 48812 54835 61015 82610 109670 122030 134233 165220 219340 244060 268466 536932 671165 748747 1342330 1497494 2684660 2994988 3743735 7487470 8236217 9164453 12166391 14974940 16472434 18328906 24332782 32944868 36657812 41181085 45822265 48665564 60831955 82362170 91644530 100808983 121663910 133830301 164724340 183289060 201617966 243327820 267660602 403235932 504044915 535321204 669151505 1008089830 1338303010 2016179660 2676606020 9136959641 18273919282 36547838564 45684798205 91369596410 100506556051 182739192820 201013112102 402026224204 502532780255 1005065560510 2010131121020