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10001303203213 = 72674813024677
BaseRepresentation
bin1001000110001001110000…
…0111111110110110001101
31022102010010000102211120001
42101202130013332312031
52302330132110000323
633134311341124301
72051366421365500
oct221423407766615
938363100384501
1010001303203213
11320658aa19973
1211563a0259691
1357717114549a
142680cc245137
151252545673ad
hex9189c1fed8d

10001303203213 has 12 divisors (see below), whose sum is σ = 11634345285372. Its totient is φ = 8572415732160.

The previous prime is 10001303203183. The next prime is 10001303203253. The reversal of 10001303203213 is 31230230310001.

It can be written as a sum of positive squares in 2 ways, for example, as 8911496655369 + 1089806547844 = 2985213^2 + 1043938^2 .

It is not a de Polignac number, because 10001303203213 - 25 = 10001303203181 is a prime.

It is a super-2 number, since 2×100013032032132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001303203253) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1794231 + ... + 4818907.

It is an arithmetic number, because the mean of its divisors is an integer number (969528773781).

Almost surely, 210001303203213 is an apocalyptic number.

It is an amenable number.

10001303203213 is a deficient number, since it is larger than the sum of its proper divisors (1633042082159).

10001303203213 is an equidigital number, since it uses as much as digits as its factorization.

10001303203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092172 (or 3092165 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10001303203213 its reverse (31230230310001), we get a palindrome (41231533513214).

The spelling of 10001303203213 in words is "ten trillion, one billion, three hundred three million, two hundred three thousand, two hundred thirteen".

Divisors: 1 7 49 67481 472367 3024677 3306569 21172739 148209173 204108228637 1428757600459 10001303203213