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10203131312297 = 7111725140217723
BaseRepresentation
bin1001010001111001101000…
…0001000111100010101001
31100010102001202122002021022
42110132122001013202221
52314132003103443142
633411130454022225
72102103051121550
oct224363201074251
940112052562238
1010203131312297
11328413a6a3520
121189528047975
135901c7116ac1
14273b97038d97
1512a6182486d2
hex9479a0478a9

10203131312297 has 64 divisors (see below), whose sum is σ = 13527844743168. Its totient is φ = 7450185600000.

The previous prime is 10203131312281. The next prime is 10203131312317. The reversal of 10203131312297 is 79221313130201.

It is not a de Polignac number, because 10203131312297 - 24 = 10203131312281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10203131315297) 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 63 ways as a sum of consecutive naturals, for example, 1321131878 + ... + 1321139600.

It is an arithmetic number, because the mean of its divisors is an integer number (211372574112).

Almost surely, 210203131312297 is an apocalyptic number.

10203131312297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10203131312297 is a deficient number, since it is larger than the sum of its proper divisors (3324713430871).

10203131312297 is a wasteful number, since it uses less digits than its factorization.

10203131312297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12030.

The product of its (nonzero) digits is 13608, while the sum is 35.

Adding to 10203131312297 its reverse (79221313130201), we get a palindrome (89424444442498).

The spelling of 10203131312297 in words is "ten trillion, two hundred three billion, one hundred thirty-one million, three hundred twelve thousand, two hundred ninety-seven".

Divisors: 1 7 11 17 77 119 187 251 1309 1757 2761 4021 4267 7723 19327 28147 29869 44231 46937 54061 68357 84953 131291 309617 328559 478499 594671 751927 919037 1009271 1444201 1938473 5263489 7064897 10109407 11101981 13569311 17157607 21323203 31054183 32954041 77713867 120103249 149262421 188733677 217379281 230678287 341596013 362494451 527921111 1321135739 2391172091 2537461157 3695447777 5807132221 7794599933 40649925547 54562199531 85740599263 132508198861 600184194841 927557392027 1457590187471 10203131312297