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201344200332 = 223114733319743
BaseRepresentation
bin1011101110000100001…
…1001010111010001100
3201020201000122010200220
42323201003022322030
511244323103402312
6232255104551340
720355332315262
oct2734103127214
9636630563626
10201344200332
1178431608870
1233031922550
1315ca99617a2
149a6082a432
155386495c8c
hex2ee10cae8c

201344200332 has 96 divisors (see below), whose sum is σ = 523627905024. Its totient is φ = 59691182400.

The previous prime is 201344200261. The next prime is 201344200339. The reversal of 201344200332 is 233002443102.

It is not an unprimeable number, because it can be changed into a prime (201344200339) 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, 20660653 + ... + 20670395.

It is an arithmetic number, because the mean of its divisors is an integer number (5454457344).

Almost surely, 2201344200332 is an apocalyptic number.

201344200332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201344200332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261813952512).

201344200332 is an abundant number, since it is smaller than the sum of its proper divisors (322283704692).

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

201344200332 is a wasteful number, since it uses less digits than its factorization.

201344200332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201344200332 its reverse (233002443102), we get a palindrome (434346643434).

The spelling of 201344200332 in words is "two hundred one billion, three hundred forty-four million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 3331 6204 6662 9743 9993 13324 19486 19986 29229 36641 38972 39972 58458 73282 107173 109923 116916 146564 156557 214346 219846 313114 321519 428692 439692 457921 469671 626228 643038 915842 939342 1286076 1373763 1722127 1831684 1878684 2747526 3444254 5037131 5166381 5495052 6888508 10074262 10332762 15111393 20148524 20665524 30222786 32453933 60445572 64907866 97361799 129815732 194723598 356993263 389447196 713986526 1070979789 1427973052 1525334851 2141959578 3050669702 4283919156 4576004553 6101339404 9152009106 16778683361 18304018212 33557366722 50336050083 67114733444 100672100166 201344200332