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200330013132 = 223367187114797
BaseRepresentation
bin1011101010010010011…
…0010110100111001100
3201011002100021002102000
42322210212112213030
511240233440410012
6232010315232300
720321236005264
oct2724446264714
9634070232360
10200330013132
1177a61084a27
12329aa148690
1315b777c7c12
1499a5c687a4
155327410ddc
hex2ea49969cc

200330013132 has 96 divisors (see below), whose sum is σ = 527443338240. Its totient is φ = 65740403520.

The previous prime is 200330013101. The next prime is 200330013173. The reversal of 200330013132 is 231310033002.

200330013132 is a `hidden beast` number, since 20 + 0 + 330 + 0 + 1 + 313 + 2 = 666.

200330013132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2003300131322 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13531158 + ... + 13545954.

It is an arithmetic number, because the mean of its divisors is an integer number (5494201440).

Almost surely, 2200330013132 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 200330013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263721669120).

200330013132 is an abundant number, since it is smaller than the sum of its proper divisors (327113325108).

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

200330013132 is a wasteful number, since it uses less digits than its factorization.

200330013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16748 (or 16740 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200330013132 its reverse (231310033002), we get a palindrome (431640046134).

The spelling of 200330013132 in words is "two hundred billion, three hundred thirty million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 1871 2412 3618 3742 5613 7236 7484 11226 14797 16839 22452 29594 33678 44391 50517 59188 67356 88782 101034 125357 133173 177564 202068 250714 266346 376071 399519 501428 532692 752142 799038 991399 1128213 1504284 1598076 1982798 2256426 2974197 3384639 3965596 4512852 5948394 6769278 8922591 11896788 13538556 17845182 26767773 27685187 35690364 53535546 55370374 83055561 107071092 110740748 166111122 249166683 332222244 498333366 747500049 996666732 1495000098 1854907529 2990000196 3709815058 5564722587 7419630116 11129445174 16694167761 22258890348 33388335522 50082503283 66776671044 100165006566 200330013132