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133001030000 = 2454176711677
BaseRepresentation
bin111101111011101111…
…0101010100101110000
3110201022001220100212002
41323313132222211300
54134341230430000
6141033321353132
712415614046646
oct1736736524560
9421261810762
10133001030000
1151450683413
12219399387a8
13c707859b27
146619c9d196
1536d655c8d5
hex1ef77aa970

133001030000 has 200 divisors, whose sum is σ = 346068934992. Its totient is φ = 49319424000.

The previous prime is 133001029963. The next prime is 133001030011. The reversal of 133001030000 is 30100331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11384162 + ... + 11395838.

Almost surely, 2133001030000 is an apocalyptic number.

133001030000 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 133001030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173034467496).

133001030000 is an abundant number, since it is smaller than the sum of its proper divisors (213067904992).

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

133001030000 is a wasteful number, since it uses less digits than its factorization.

133001030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 133001030000 its reverse (30100331), we get a palindrome (133031130331).

The spelling of 133001030000 in words is "one hundred thirty-three billion, one million, thirty thousand".