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130033332 = 2232111322967
BaseRepresentation
bin1111100000000…
…10011010110100
3100001200101012100
413300002122310
5231242031312
620523022100
73136156632
oct760023264
9301611170
10130033332
1167444a70
123766a930
1320c2aa00
14133ac352
15b6385dc
hex7c026b4

130033332 has 216 divisors, whose sum is σ = 407665440. Its totient is φ = 34594560.

The previous prime is 130033331. The next prime is 130033363. The reversal of 130033332 is 233330031.

130033332 is a `hidden beast` number, since 1 + 300 + 33 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130033331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1940763 + ... + 1940829.

It is an arithmetic number, because the mean of its divisors is an integer number (1887340).

Almost surely, 2130033332 is an apocalyptic number.

130033332 is a gapful number since it is divisible by the number (12) 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 130033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203832720).

130033332 is an abundant number, since it is smaller than the sum of its proper divisors (277632108).

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

130033332 is a wasteful number, since it uses less digits than its factorization.

130033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

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

The square root of 130033332 is about 11403.2158622031. The cubic root of 130033332 is about 506.6229938888.

Adding to 130033332 its reverse (233330031), we get a palindrome (363363363).

The spelling of 130033332 in words is "one hundred thirty million, thirty-three thousand, three hundred thirty-two".