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21232100232 = 23327225723417
BaseRepresentation
bin10011110001100010…
…000010001110001000
32000210200221110000200
4103301202002032020
5321440404201412
613430501332200
71351102605600
oct236142021610
960720843020
1021232100232
119005a70182
124146707060
132004a2b025
141055badc00
15843ee79dc
hex4f1882388

21232100232 has 144 divisors (see below), whose sum is σ = 67155096060. Its totient is φ = 6042451968.

The previous prime is 21232100189. The next prime is 21232100243. The reversal of 21232100232 is 23200123212.

It can be written as a sum of positive squares in 2 ways, for example, as 19478668356 + 1753431876 = 139566^2 + 41874^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 894988 + ... + 918404.

Almost surely, 221232100232 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 21232100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33577548030).

21232100232 is an abundant number, since it is smaller than the sum of its proper divisors (45922995828).

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

21232100232 is a wasteful number, since it uses less digits than its factorization.

21232100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23700 (or 23686 counting only the distinct ones).

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

Adding to 21232100232 its reverse (23200123212), we get a palindrome (44432223444).

The spelling of 21232100232 in words is "twenty-one billion, two hundred thirty-two million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 257 294 392 441 504 514 588 771 882 1028 1176 1542 1764 1799 2056 2313 3084 3528 3598 4626 5397 6168 7196 9252 10794 12593 14392 16191 18504 21588 23417 25186 32382 37779 43176 46834 50372 64764 70251 75558 93668 100744 113337 129528 140502 151116 163919 187336 210753 226674 281004 302232 327838 421506 453348 491757 562008 655676 843012 906696 983514 1147433 1311352 1475271 1686024 1967028 2294866 2950542 3442299 3934056 4589732 5901084 6018169 6884598 9179464 10326897 11802168 12036338 13769196 18054507 20653794 24072676 27538392 36109014 41307588 42127183 48145352 54163521 72218028 82615176 84254366 108327042 126381549 144436056 168508732 216654084 252763098 294890281 337017464 379144647 433308168 505526196 589780562 758289294 884670843 1011052392 1179561124 1516578588 1769341686 2359122248 2654012529 3033157176 3538683372 5308025058 7077366744 10616050116 21232100232