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133110100200 = 233527113192941
BaseRepresentation
bin111101111110111111…
…0101111000011101000
3110201120200010201001010
41323331332233003220
54140102141201300
6141052215223520
712421410116610
oct1737576570350
9421520121033
10133110100200
11514a71aa480
122196a377ba0
13c724327bcc
14662a571a40
1536e0e04a50
hex1efdfaf0e8

133110100200 has 384 divisors, whose sum is σ = 531063152640. Its totient is φ = 26766720000.

The previous prime is 133110100133. The next prime is 133110100223. The reversal of 133110100200 is 2001011331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385730 + ... + 1478670.

It is an arithmetic number, because the mean of its divisors is an integer number (1382976960).

Almost surely, 2133110100200 is an apocalyptic number.

133110100200 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 133110100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265531576320).

133110100200 is an abundant number, since it is smaller than the sum of its proper divisors (397953052440).

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

133110100200 is a wasteful number, since it uses less digits than its factorization.

133110100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93009 (or 93000 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 133110100200 its reverse (2001011331), we get a palindrome (135111111531).

The spelling of 133110100200 in words is "one hundred thirty-three billion, one hundred ten million, one hundred thousand, two hundred".