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133330133033100 = 22345226596190489
BaseRepresentation
bin11110010100001101010111…
…001101111010000010001100
3122111002020101012211021110000
4132110031113031322002030
5114433440103024024400
61151323003442044300
740040532663352533
oct3624152715720214
9574066335737400
10133330133033100
1139534aa0207a43
1212b54333949690
135951c92a16c93
1424cd2da19131a
151063351b02600
hex79435737a08c

133330133033100 has 180 divisors, whose sum is σ = 432366231173800. Its totient is φ = 35541324944640.

The previous prime is 133330133033087. The next prime is 133330133033131. The reversal of 133330133033100 is 1330331033331.

133330133033100 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 30 + 13 + 303 + 310 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1333301330331002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 18442656 + ... + 24633144.

Almost surely, 2133330133033100 is an apocalyptic number.

133330133033100 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 133330133033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216183115586900).

133330133033100 is an abundant number, since it is smaller than the sum of its proper divisors (299036098140700).

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

133330133033100 is a wasteful number, since it uses less digits than its factorization.

133330133033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193174 (or 6193158 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 133330133033100 its reverse (1330331033331), we get a palindrome (134660464066431).

The spelling of 133330133033100 in words is "one hundred thirty-three trillion, three hundred thirty billion, one hundred thirty-three million, thirty-three thousand, one hundred".