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212213232132 = 2231123314994603
BaseRepresentation
bin1100010110100011100…
…1001111001000000100
3202021202111122011100020
43011220321033020010
511434103041412012
6241253414015140
721221561465526
oct3055071171004
9667674564306
10212213232132
1181aa9923280
12351659474b0
131701c6c1a55
14a3b2167a16
1557c07b4a8c
hex3168e4f204

212213232132 has 96 divisors (see below), whose sum is σ = 542977344000. Its totient is φ = 63974426880.

The previous prime is 212213232103. The next prime is 212213232149. The reversal of 212213232132 is 231232312212.

212213232132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46100943 + ... + 46105545.

It is an arithmetic number, because the mean of its divisors is an integer number (5656014000).

Almost surely, 2212213232132 is an apocalyptic number.

212213232132 is a gapful number since it is divisible by the number (22) 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 212213232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271488672000).

212213232132 is an abundant number, since it is smaller than the sum of its proper divisors (330764111868).

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

212213232132 is a wasteful number, since it uses less digits than its factorization.

212213232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6351 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 212213232132 its reverse (231232312212), we get a palindrome (443445544344).

The spelling of 212213232132 in words is "two hundred twelve billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 699 932 1398 1499 2563 2796 2998 4497 4603 5126 5996 7689 8994 9206 10252 13809 15378 16489 17988 18412 27618 30756 32978 49467 50633 55236 65956 98934 101266 151899 197868 202532 303798 349267 607596 698534 1047801 1072499 1397068 2095602 2144998 3217497 3841937 4191204 4289996 6434994 6899897 7683874 11525811 11797489 12869988 13799794 15367748 20699691 23051622 23594978 27599588 35392467 41399382 46103244 47189956 70784934 75898867 82798764 141569868 151797734 227696601 303595468 455393202 910786404 1607676001 3215352002 4823028003 6430704004 9646056006 17684436011 19292112012 35368872022 53053308033 70737744044 106106616066 212213232132