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133400332312 = 23136733157839
BaseRepresentation
bin111110000111101000…
…1111000100000011000
3110202022220021000122121
41330033101320200120
54141200441113222
6141141104031024
712431533054432
oct1741721704030
9422286230577
10133400332312
1151636012125
1221a2b602474
13c76c4b59a0
146656d21652
15370b6345c7
hex1f0f478818

133400332312 has 64 divisors (see below), whose sum is σ = 274217126400. Its totient is φ = 60466158720.

The previous prime is 133400332301. The next prime is 133400332313. The reversal of 133400332312 is 213233004331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133400332313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277489 + ... + 2335327.

It is an arithmetic number, because the mean of its divisors is an integer number (4284642600).

Almost surely, 2133400332312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133400332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137108563200).

133400332312 is an abundant number, since it is smaller than the sum of its proper divisors (140816794088).

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

133400332312 is a wasteful number, since it uses less digits than its factorization.

133400332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58256 (or 58252 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 133400332312 its reverse (213233004331), we get a palindrome (346633336643).

The spelling of 133400332312 in words is "one hundred thirty-three billion, four hundred million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 67 104 134 268 331 536 662 871 1324 1742 2648 3484 4303 6968 8606 17212 22177 34424 44354 57839 88708 115678 177416 231356 288301 462712 576602 751907 1153204 1503814 2306408 3007628 3875213 6015256 7750426 15500852 19144709 31001704 38289418 50377769 76578836 100755538 153157672 201511076 248881217 403022152 497762434 995524868 1282695503 1991049736 2565391006 5130782012 10261564024 16675041539 33350083078 66700166156 133400332312