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213323230032 = 243111723765957
BaseRepresentation
bin1100011010101100001…
…1100010101101010000
3202101121212021220012120
43012223003202231100
511443341221330112
6241555505054240
721261230352153
oct3065303425520
9671555256176
10213323230032
1182519447110
1235415627380
1317168663343
14a479749c9a
155837e72e8c
hex31ab0e2b50

213323230032 has 80 divisors (see below), whose sum is σ = 636547419072. Its totient is φ = 60840847360.

The previous prime is 213323230031. The next prime is 213323230111. The reversal of 213323230032 is 230032323312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213323229984 and 213323230011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213323230031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11874003 + ... + 11891954.

Almost surely, 2213323230032 is an apocalyptic number.

213323230032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213323230032 is an abundant number, since it is smaller than the sum of its proper divisors (423224189040).

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

213323230032 is a wasteful number, since it uses less digits than its factorization.

213323230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23765996 (or 23765990 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 213323230032 its reverse (230032323312), we get a palindrome (443355553344).

The spelling of 213323230032 in words is "two hundred thirteen billion, three hundred twenty-three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 23765957 47531914 71297871 95063828 142595742 190127656 261425527 285191484 380255312 404021269 522851054 570382968 784276581 808042538 1045702108 1140765936 1212063807 1568553162 1616085076 2091404216 2424127614 3137106324 3232170152 4182808432 4444233959 4848255228 6274212648 6464340304 8888467918 9696510456 12548425296 13332701877 17776935836 19393020912 26665403754 35553871672 53330807508 71107743344 106661615016 213323230032