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2001212212100 = 2252131821186071
BaseRepresentation
bin11101000111110001100…
…010110000001110000100
321002022110220211121100112
4131013301202300032010
5230241440311241400
64131202202532152
7264403622065103
oct35076142601604
97068426747315
102001212212100
11701789138772
12283a21b07058
1311693774323a
146cc0587c03a
15370c962b835
hex1d1f18b0384

2001212212100 has 72 divisors (see below), whose sum is σ = 4381133714496. Its totient is φ = 793402480000.

The previous prime is 2001212212079. The next prime is 2001212212117. The reversal of 2001212212100 is 12122121002.

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, 10662065 + ... + 10848135.

It is an arithmetic number, because the mean of its divisors is an integer number (60849079368).

Almost surely, 22001212212100 is an apocalyptic number.

2001212212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190566857248).

2001212212100 is an abundant number, since it is smaller than the sum of its proper divisors (2379921502396).

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

2001212212100 is a wasteful number, since it uses less digits than its factorization.

2001212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187037 (or 187030 counting only the distinct ones).

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

Adding to 2001212212100 its reverse (12122121002), we get a palindrome (2013334333102).

The spelling of 2001212212100 in words is "two trillion, one billion, two hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 821 1310 1642 2620 3275 3284 4105 6550 8210 13100 16420 20525 41050 82100 107551 186071 215102 372142 430204 537755 744284 930355 1075510 1860710 2151020 2688775 3721420 4651775 5377550 9303550 10755100 18607100 24375301 48750602 97501204 121876505 152764291 243753010 305528582 487506020 609382525 611057164 763821455 1218765050 1527642910 2437530100 3055285820 3819107275 7638214550 15276429100 20012122121 40024244242 80048488484 100060610605 200121221210 400242442420 500303053025 1000606106050 2001212212100