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201212221120100 = 225214449139256849
BaseRepresentation
bin101101110000000001011110…
…111101101101111001100100
3222101102200220122112101122122
4231300001132331231321210
5202333130112101320400
61551535341315045112
760245050261654361
oct5560013675557144
9871380818471578
10201212221120100
11591266952598a3
121a6983398a0798
13883730077b8a8
143798a1b289468
15183ded1b27685
hexb7005ef6de64

201212221120100 has 36 divisors (see below), whose sum is σ = 436660741702500. Its totient is φ = 80479317596160.

The previous prime is 201212221120081. The next prime is 201212221120129. The reversal of 201212221120100 is 1021122212102.

It can be written as a sum of positive squares in 6 ways, for example, as 1115862646336 + 200096358473764 = 1056344^2 + 14145542^2 .

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, 68183525 + ... + 71073324.

Almost surely, 2201212221120100 is an apocalyptic number.

201212221120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212221120100 is an abundant number, since it is smaller than the sum of its proper divisors (235448520582400).

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

201212221120100 is a wasteful number, since it uses less digits than its factorization.

201212221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139271312 (or 139271305 counting only the distinct ones).

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

Adding to 201212221120100 its reverse (1021122212102), we get a palindrome (202233343332202).

The spelling of 201212221120100 in words is "two hundred one trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 14449 28898 57796 72245 144490 288980 361225 722450 1444900 139256849 278513698 557027396 696284245 1392568490 2785136980 3481421225 6962842450 13925684900 2012122211201 4024244422402 8048488844804 10060611056005 20121222112010 40242444224020 50303055280025 100606110560050 201212221120100