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2001221212100 = 22521112227148793
BaseRepresentation
bin11101000111110010000…
…101000101011111000100
321002022111112202212000212
4131013302011011133010
5230242000112241400
64131203123454552
7264404061431135
oct35076205053704
97068445685025
102001221212100
11701793225590
12283a24b27458
13116939574896
146cc06b41c8c
15370ca308335
hex1d1f21457c4

2001221212100 has 72 divisors (see below), whose sum is σ = 4737855695328. Its totient is φ = 727652396800.

The previous prime is 2001221212099. The next prime is 2001221212117. The reversal of 2001221212100 is 12121221002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13375304 + ... + 13524096.

It is an arithmetic number, because the mean of its divisors is an integer number (65803551324).

Almost surely, 22001221212100 is an apocalyptic number.

2001221212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001221212100 is an abundant number, since it is smaller than the sum of its proper divisors (2736634483228).

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

2001221212100 is a wasteful number, since it uses less digits than its factorization.

2001221212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161045 (or 161038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2001221212100 its reverse (12121221002), we get a palindrome (2013342433102).

The spelling of 2001221212100 in words is "two trillion, one billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 12227 24454 48908 61135 122270 134497 148793 244540 268994 297586 305675 537988 595172 611350 672485 743965 1222700 1344970 1487930 1636723 2689940 2975860 3273446 3362425 3719825 6546892 6724850 7439650 8183615 13449700 14879300 16367230 32734460 40918075 81836150 163672300 1819292011 3638584022 7277168044 9096460055 18192920110 20012212121 36385840220 40024424242 45482300275 80048848484 90964600550 100061060605 181929201100 200122121210 400244242420 500305303025 1000610606050 2001221212100