Search a number
-
+
133965232200 = 23325286272
BaseRepresentation
bin111110011000011110…
…0110011100001001000
3110210210021012220121200
41330300330303201020
54143330044412300
6141313123504200
712451532454042
oct1746074634110
9423707186550
10133965232200
11518a5976838
1221b68828060
13c82c542087
1466abd6ca92
15374101c200
hex1f30f33848

133965232200 has 108 divisors (see below), whose sum is σ = 449952061065. Its totient is φ = 35719920960.

The previous prime is 133965232189. The next prime is 133965232229. The reversal of 133965232200 is 2232569331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

133965232200 is a `hidden beast` number, since 13 + 396 + 5 + 232 + 20 + 0 = 666.

133965232200 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 2 ways, for example, as 131285927556 + 2679304644 = 362334^2 + 51762^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=258810.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15524287 + ... + 15532913.

Almost surely, 2133965232200 is an apocalyptic number.

133965232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133965232200 is an abundant number, since it is smaller than the sum of its proper divisors (315986828865).

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

133965232200 is an frugal number, since it uses more digits than its factorization.

133965232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17276 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 133965232200 in words is "one hundred thirty-three billion, nine hundred sixty-five million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 8627 17254 25881 34508 43135 51762 69016 77643 86270 103524 129405 155286 172540 207048 215675 258810 310572 345080 388215 431350 517620 621144 647025 776430 862700 1035240 1294050 1552860 1725400 1941075 2588100 3105720 3882150 5176200 7764300 15528600 74425129 148850258 223275387 297700516 372125645 446550774 595401032 669826161 744251290 893101548 1116376935 1339652322 1488502580 1786203096 1860628225 2232753870 2679304644 2977005160 3349130805 3721256450 4465507740 5358609288 5581884675 6698261610 7442512900 8931015480 11163769350 13396523220 14885025800 16745654025 22327538700 26793046440 33491308050 44655077400 66982616100 133965232200