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232122000132 = 223311832354083
BaseRepresentation
bin1101100000101110001…
…1001010001100000100
3211012010222111100211000
43120023203022030010
512300341213001012
6254345124013300
722525125306111
oct3301343121404
9735128440730
10232122000132
118a4958aa350
1238ba1231230
1318b73205a49
14b3402a1908
15608850dddc
hex360b8ca304

232122000132 has 96 divisors (see below), whose sum is σ = 664416668160. Its totient is φ = 69492500640.

The previous prime is 232122000091. The next prime is 232122000157. The reversal of 232122000132 is 231000221232.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1078438 + ... + 1275645.

It is an arithmetic number, because the mean of its divisors is an integer number (6921006960).

Almost surely, 2232122000132 is an apocalyptic number.

232122000132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232122000132 is an abundant number, since it is smaller than the sum of its proper divisors (432294668028).

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

232122000132 is a wasteful number, since it uses less digits than its factorization.

232122000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354190 (or 2354182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232122000132 its reverse (231000221232), we get a palindrome (463122221364).

The spelling of 232122000132 in words is "two hundred thirty-two billion, one hundred twenty-two million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 83 99 108 132 166 198 249 297 332 396 498 594 747 913 996 1188 1494 1826 2241 2739 2988 3652 4482 5478 8217 8964 10956 16434 24651 32868 49302 98604 2354083 4708166 7062249 9416332 14124498 21186747 25894913 28248996 42373494 51789826 63560241 77684739 84746988 103579652 127120482 155369478 195388889 233054217 254240964 310738956 390777778 466108434 586166667 699162651 781555556 932216868 1172333334 1398325302 1758500001 2149277779 2344666668 2796650604 3517000002 4298555558 5275500003 6447833337 7034000004 8597111116 10551000006 12895666674 19343500011 21102000012 25791333348 38687000022 58030500033 77374000044 116061000066 232122000132