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201012221101220 = 22518877735324057
BaseRepresentation
bin101101101101000111001110…
…000010001100010010100100
3222100201120200022012202020222
4231231013032002030102210
5202321341012100214340
61551303423424343512
760224440140601334
oct5555071602142244
9870646608182228
10201012221101220
11590598934854a1
121a665622174b98
1388214a9453c59
14378d0871a10c4
151838bc869c8b5
hexb6d1ce08c4a4

201012221101220 has 24 divisors (see below), whose sum is σ = 422125967209464. Its totient is φ = 80404830745856.

The previous prime is 201012221101213. The next prime is 201012221101229. The reversal of 201012221101220 is 22101122210102.

It can be written as a sum of positive squares in 4 ways, for example, as 56254170077284 + 144758051023936 = 7500278^2 + 12031544^2 .

It is not an unprimeable number, because it can be changed into a prime (201012221101229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35093432 + ... + 40417488.

It is an arithmetic number, because the mean of its divisors is an integer number (17588581967061).

Almost surely, 2201012221101220 is an apocalyptic number.

201012221101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012221101220 is an abundant number, since it is smaller than the sum of its proper divisors (221113746108244).

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

201012221101220 is a wasteful number, since it uses less digits than its factorization.

201012221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211839 (or 7211837 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201012221101220 its reverse (22101122210102), we get a palindrome (223113343311322).

The spelling of 201012221101220 in words is "two hundred one trillion, twelve billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1887773 3775546 5324057 7551092 9438865 10648114 18877730 21296228 26620285 37755460 53240570 106481140 10050611055061 20101222110122 40202444220244 50253055275305 100506110550610 201012221101220