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201332300232 = 23376164130649
BaseRepresentation
bin1011101110000001010…
…1110001100111001000
3201020200012020112211110
42323200111301213020
511244312032101412
6232254001530320
720355126213150
oct2734025614710
9636605215743
10201332300232
1178425920078
12330299439a0
1315ca73560cb
149a5d00d760
1553853e4d3c
hex2ee05719c8

201332300232 has 128 divisors (see below), whose sum is σ = 585596448000. Its totient is φ = 56490393600.

The previous prime is 201332300201. The next prime is 201332300237. The reversal of 201332300232 is 232003233102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201332300199 and 201332300208.

It is not an unprimeable number, because it can be changed into a prime (201332300237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6553644 + ... + 6584292.

It is an arithmetic number, because the mean of its divisors is an integer number (4574972250).

Almost surely, 2201332300232 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 201332300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292798224000).

201332300232 is an abundant number, since it is smaller than the sum of its proper divisors (384264147768).

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

201332300232 is a wasteful number, since it uses less digits than its factorization.

201332300232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31367 (or 31363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 201332300232 its reverse (232003233102), we get a palindrome (433335533334).

The spelling of 201332300232 in words is "two hundred one billion, three hundred thirty-two million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 641 732 854 1281 1282 1464 1708 1923 2562 2564 3416 3846 4487 5124 5128 7692 8974 10248 13461 15384 17948 26922 30649 35896 39101 53844 61298 78202 91947 107688 117303 122596 156404 183894 214543 234606 245192 273707 312808 367788 429086 469212 547414 643629 735576 821121 858172 938424 1094828 1287258 1642242 1716344 1869589 2189656 2574516 3284484 3739178 5149032 5608767 6568968 7478356 11217534 13087123 14956712 19646009 22435068 26174246 39261369 39292018 44870136 52348492 58938027 78522738 78584036 104696984 117876054 137522063 157045476 157168072 235752108 275044126 314090952 412566189 471504216 550088252 825132378 1100176504 1198406549 1650264756 2396813098 3300529512 3595219647 4793626196 7190439294 8388845843 9587252392 14380878588 16777691686 25166537529 28761757176 33555383372 50333075058 67110766744 100666150116 201332300232