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203101211313 = 327111322544257
BaseRepresentation
bin1011110100100111000…
…1101000101010110001
3201102020110202112122200
42331021301220222301
511311422402230223
6233145311453413
720450015545260
oct2751161505261
9642213675580
10203101211313
1179153380160
1233442227269
13161c997c660
149b89d125d7
15543a85ba43
hex2f49c68ab1

203101211313 has 48 divisors (see below), whose sum is σ = 393893275776. Its totient is φ = 97391185920.

The previous prime is 203101211297. The next prime is 203101211323. The reversal of 203101211313 is 313112101302.

203101211313 is a `hidden beast` number, since 20 + 310 + 1 + 21 + 1 + 313 = 666.

203101211313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203101211313 - 24 = 203101211297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (203101211323) 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 47 ways as a sum of consecutive naturals, for example, 11263120 + ... + 11281137.

It is an arithmetic number, because the mean of its divisors is an integer number (8206109912).

Almost surely, 2203101211313 is an apocalyptic number.

It is an amenable number.

203101211313 is a deficient number, since it is larger than the sum of its proper divisors (190792064463).

203101211313 is a wasteful number, since it uses less digits than its factorization.

203101211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22544294 (or 22544291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 203101211313 its reverse (313112101302), we get a palindrome (516213312615).

It can be divided in two parts, 203101 and 211313, that added together give a palindrome (414414).

The spelling of 203101211313 in words is "two hundred three billion, one hundred one million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 22544257 67632771 157809799 202898313 247986827 293075341 473429397 743960481 879226023 1420288191 1735907789 2051527387 2231881443 2637678069 3223828751 5207723367 6154582161 9671486253 15623170101 18463746483 22566801257 29014458759 67700403771 203101211313