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133333000000200 = 233252711131937105263
BaseRepresentation
bin11110010100010000000010…
…000110100001001011001000
3122111002111210000112021221200
4132110100002012201023020
5114434011441000001300
61151324200135104200
740040664015233310
oct3624200206411310
9574074700467850
10133333000000200
1139536231574840
1212b549b3b12060
13595232b990410
1424cd4ccc48440
15106346d669200
hex7944021a12c8

133333000000200 has 2304 divisors, whose sum is σ = 649963599667200. Its totient is φ = 23573298585600.

The previous prime is 133333000000177. The next prime is 133333000000201. The reversal of 133333000000200 is 2000000333331.

133333000000200 is a `hidden beast` number, since 1 + 333 + 330 + 0 + 0 + 0 + 0 + 0 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133333000000201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1266612769 + ... + 1266718031.

It is an arithmetic number, because the mean of its divisors is an integer number (282102256800).

Almost surely, 2133333000000200 is an apocalyptic number.

133333000000200 is a gapful number since it is divisible by the number (10) 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 133333000000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324981799833600).

133333000000200 is an abundant number, since it is smaller than the sum of its proper divisors (516630599667000).

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

133333000000200 is a wasteful number, since it uses less digits than its factorization.

133333000000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105372 (or 105360 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 133333000000200 its reverse (2000000333331), we get a palindrome (135333000333531).

It can be divided in two parts, 133 and 333000000200, that added together give a palindrome (333000000333).

The spelling of 133333000000200 in words is "one hundred thirty-three trillion, three hundred thirty-three billion, two hundred", and thus it is an aban number.