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213202212032 = 2641222136583
BaseRepresentation
bin1100011010001111010…
…1111001010011000000
3202101022102120112201102
43012203311321103000
511443114231241112
6241535503153532
721255230621045
oct3064365712300
9671272515642
10213202212032
11824670aa537
12353a0ba58a8
1317149570c64
14a4676471cc
15582c51abc2
hex31a3d794c0

213202212032 has 56 divisors (see below), whose sum is σ = 433598982432. Its totient is φ = 103951411200.

The previous prime is 213202212023. The next prime is 213202212043. The reversal of 213202212032 is 230212202312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213202211995 and 213202212013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5809613 + ... + 5846195.

It is an arithmetic number, because the mean of its divisors is an integer number (7742838972).

Almost surely, 2213202212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213202212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216799491216).

213202212032 is an abundant number, since it is smaller than the sum of its proper divisors (220396770400).

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

213202212032 is a wasteful number, since it uses less digits than its factorization.

213202212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38857 (or 38847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213202212032 its reverse (230212202312), we get a palindrome (443414414344).

The spelling of 213202212032 in words is "two hundred thirteen billion, two hundred two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2221 2624 4442 8884 17768 35536 36583 71072 73166 91061 142144 146332 182122 292664 364244 585328 728488 1170656 1456976 1499903 2341312 2913952 2999806 5827904 5999612 11999224 23998448 47996896 81250843 95993792 162501686 325003372 650006744 1300013488 2600026976 3331284563 5200053952 6662569126 13325138252 26650276504 53300553008 106601106016 213202212032