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201233002032 = 24325923999103
BaseRepresentation
bin1011101101101001101…
…0111110111000110000
3201020102021101200022100
42323122122332320300
511244111122031112
6232240053340400
720352512203056
oct2733232767060
9636367350270
10201233002032
1178384868947
1233000637700
1315c8c8c9b8a
149a4db621d6
15537b82d2dc
hex2eda6bee30

201233002032 has 120 divisors (see below), whose sum is σ = 575120332800. Its totient is φ = 65664192384.

The previous prime is 201233001967. The next prime is 201233002039. The reversal of 201233002032 is 230200332102.

It is a happy number.

It is a super-2 number, since 2×2012330020322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201233001996 and 201233002014.

It is not an unprimeable number, because it can be changed into a prime (201233002039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980993 + ... + 2080095.

It is an arithmetic number, because the mean of its divisors is an integer number (4792669440).

Almost surely, 2201233002032 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 201233002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287560166400).

201233002032 is an abundant number, since it is smaller than the sum of its proper divisors (373887330768).

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

201233002032 is a wasteful number, since it uses less digits than its factorization.

201233002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99415 (or 99406 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201233002032 its reverse (230200332102), we get a palindrome (431433334134).

The spelling of 201233002032 in words is "two hundred one billion, two hundred thirty-three million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 239 354 472 478 531 708 717 944 956 1062 1416 1434 1912 2124 2151 2832 2868 3824 4248 4302 5736 8496 8604 11472 14101 17208 28202 34416 42303 56404 84606 99103 112808 126909 169212 198206 225616 253818 297309 338424 396412 507636 594618 676848 792824 891927 1015272 1189236 1585648 1783854 2030544 2378472 3567708 4756944 5847077 7135416 11694154 14270832 17541231 23388308 23685617 35082462 46776616 47371234 52623693 70164924 71056851 93553232 94742468 105247386 140329848 142113702 189484936 210494772 213170553 280659696 284227404 378969872 420989544 426341106 568454808 841979088 852682212 1136909616 1397451403 1705364424 2794902806 3410728848 4192354209 5589805612 8384708418 11179611224 12577062627 16769416836 22359222448 25154125254 33538833672 50308250508 67077667344 100616501016 201233002032