Search a number
-
+
243113315202 = 232137850111597
BaseRepresentation
bin1110001001101010101…
…1101100101110000010
3212020111222121000120100
43202122223230232002
512440344002041302
6303403522023230
723364401040342
oct3423253545602
9766458530510
10243113315202
119411614600a
123b14a1a7b16
1319c053ac284
14baa3d50d22
1564cd434d1c
hex389aaecb82

243113315202 has 48 divisors (see below), whose sum is σ = 530698546872. Its totient is φ = 80429856000.

The previous prime is 243113315201. The next prime is 243113315231. The reversal of 243113315202 is 202513311342.

243113315202 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 133 + 1 + 520 + 2 = 666.

243113315202 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 209682483921 + 33430831281 = 457911^2 + 182841^2 .

It is not an unprimeable number, because it can be changed into a prime (243113315201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20957668 + ... + 20969264.

Almost surely, 2243113315202 is an apocalyptic number.

243113315202 is an abundant number, since it is smaller than the sum of its proper divisors (287585231670).

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

243113315202 is a wasteful number, since it uses less digits than its factorization.

243113315202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20243 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 243113315202 its reverse (202513311342), we get a palindrome (445626626544).

The spelling of 243113315202 in words is "two hundred forty-three billion, one hundred thirteen million, three hundred fifteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 8501 11597 17002 23194 25503 34791 51006 69582 76509 104373 153018 208746 1164637 1588789 2329274 3177578 3493911 4766367 6987822 9532734 10481733 14299101 20963466 28598202 98586097 197172194 295758291 591516582 887274873 1774549746 13506295289 27012590578 40518885867 81037771734 121556657601 243113315202