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133232001300 = 223252379974013
BaseRepresentation
bin111110000010100111…
…1110000000100010100
3110201220011111220220200
41330011033300010110
54140324343020200
6141112252100500
712424420216446
oct1740517600424
9421804456820
10133232001300
1151559a9a592
12219a3164730
13c743669238
14663c824496
1536eb983800
hex1f053f0114

133232001300 has 216 divisors, whose sum is σ = 429432186456. Its totient is φ = 34525025280.

The previous prime is 133232001277. The next prime is 133232001317. The reversal of 133232001300 is 3100232331.

133232001300 is a `hidden beast` number, since 1 + 332 + 3 + 200 + 130 + 0 = 666.

133232001300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 861187716 + 132370813584 = 29346^2 + 363828^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33198094 + ... + 33202106.

Almost surely, 2133232001300 is an apocalyptic number.

133232001300 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 133232001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214716093228).

133232001300 is an abundant number, since it is smaller than the sum of its proper divisors (296200185156).

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

133232001300 is a wasteful number, since it uses less digits than its factorization.

133232001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5057 counting only the distinct ones).

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

Adding to 133232001300 its reverse (3100232331), we get a palindrome (136332233631).

It can be divided in two parts, 1332 and 32001300, that multiplied together give a square (42625731600 = 2064602).

The spelling of 133232001300 in words is "one hundred thirty-three billion, two hundred thirty-two million, one thousand, three hundred".