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200133243324 = 2232719353311831
BaseRepresentation
bin1011101001100011011…
…1101111000110111100
3201010120122000010222100
42322120313233012330
511234333102241244
6231535005545100
720313326333340
oct2723067570674
9633518003870
10200133243324
117796aaa8953
1232954275190
1315b45b01c91
149987a87620
155314ee3b69
hex2e98def1bc

200133243324 has 144 divisors (see below), whose sum is σ = 608816033280. Its totient is φ = 54151493760.

The previous prime is 200133243319. The next prime is 200133243341. The reversal of 200133243324 is 423342331002.

200133243324 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 324 + 332 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16910089 + ... + 16921919.

It is an arithmetic number, because the mean of its divisors is an integer number (4227889120).

Almost surely, 2200133243324 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 200133243324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304408016640).

200133243324 is an abundant number, since it is smaller than the sum of its proper divisors (408682789956).

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

200133243324 is a wasteful number, since it uses less digits than its factorization.

200133243324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15400 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 200133243324 its reverse (423342331002), we get a palindrome (623475574326).

The spelling of 200133243324 in words is "two hundred billion, one hundred thirty-three million, two hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 3533 4788 7066 10599 11831 14132 21198 23662 24731 31797 35493 42396 47324 49462 63594 67127 70986 74193 82817 98924 106479 127188 134254 141972 148386 165634 201381 212958 222579 224789 248451 268508 296772 331268 402762 425916 445158 449578 469889 496902 604143 674367 745353 805524 890316 899156 939778 993804 1208286 1348734 1409667 1490706 1573523 1879556 2023101 2416572 2697468 2819334 2981412 3147046 4046202 4229001 4720569 5638668 6294092 8092404 8458002 9441138 14161707 16916004 18882276 28323414 41798923 56646828 83597846 125396769 167195692 250793538 292592461 376190307 501587076 585184922 752380614 794179537 877777383 1170369844 1504761228 1588359074 1755554766 2382538611 2633332149 3176718148 3511109532 4765077222 5266664298 5559256759 7147615833 9530154444 10533328596 11118513518 14295231666 16677770277 22237027036 28590463332 33355540554 50033310831 66711081108 100066621662 200133243324