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201012012220120 = 2356618461898543
BaseRepresentation
bin101101101101000111000001…
…100101010111111011011000
3222100201120010202011111020221
4231231013001211113323120
5202321340100112020440
61551303351003325424
760224432023254463
oct5555070145277330
9870646122144227
10201012012220120
1159059796586a92
121a665584220874
1388214750aa47a
14378d06754a2da
151838bb518bd4a
hexb6d1c1957ed8

201012012220120 has 64 divisors (see below), whose sum is σ = 453015298362240. Its totient is φ = 80273585779200.

The previous prime is 201012012220079. The next prime is 201012012220139. The reversal of 201012012220120 is 21022210210102.

It is a happy number.

201012012220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010120122201202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201012012220094 and 201012012220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223259569 + ... + 224158111.

It is an arithmetic number, because the mean of its divisors is an integer number (7078364036910).

Almost surely, 2201012012220120 is an apocalyptic number.

201012012220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012012220120 is an abundant number, since it is smaller than the sum of its proper divisors (252003286142120).

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

201012012220120 is a wasteful number, since it uses less digits than its factorization.

201012012220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907676 (or 907672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201012012220120 its reverse (21022210210102), we get a palindrome (222034222430222).

The spelling of 201012012220120 in words is "two hundred one trillion, twelve billion, twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 661 1322 2644 3305 5288 6610 8461 13220 16922 26440 33844 42305 67688 84610 169220 338440 898543 1797086 3594172 4492715 5592721 7188344 8985430 11185442 17970860 22370884 27963605 35941720 44741768 55927210 111854420 223708840 593936923 1187873846 2375747692 2969684615 4751495384 5939369230 7602572323 11878738460 15205144646 23757476920 30410289292 38012861615 60820578584 76025723230 152051446460 304102892920 5025300305503 10050600611006 20101201222012 25126501527515 40202402444024 50253003055030 100506006110060 201012012220120