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13100103022144 = 26313653958817
BaseRepresentation
bin1011111010100001101011…
…1111001011011001000000
31201101100122200222221100011
42332220122333023121000
53204113002333202034
643510034303434304
72521310523300115
oct276503277133100
951340580887304
1013100103022144
1141a07a4700966
121576a79bb5994
137404469290b8
14334096a2290c
1517ab6c971864
hexbea1afcb640

13100103022144 has 28 divisors (see below), whose sum is σ = 26078569744204. Its totient is φ = 6529124818944.

The previous prime is 13100103022133. The next prime is 13100103022147. The reversal of 13100103022144 is 44122030100131.

It can be written as a sum of positive squares in 2 ways, for example, as 6241402958400 + 6858700063744 = 2498280^2 + 2618912^2 .

It is a super-2 number, since 2×131001030221442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100103022147) 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 3 ways as a sum of consecutive naturals, for example, 326959377 + ... + 326999440.

Almost surely, 213100103022144 is an apocalyptic number.

It is an amenable number.

13100103022144 is a deficient number, since it is larger than the sum of its proper divisors (12978466722060).

13100103022144 is an equidigital number, since it uses as much as digits as its factorization.

13100103022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653959142 (or 653959132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13100103022144 its reverse (44122030100131), we get a palindrome (57222133122275).

The spelling of 13100103022144 in words is "thirteen trillion, one hundred billion, one hundred three million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 313 626 1252 2504 5008 10016 20032 653958817 1307917634 2615835268 5231670536 10463341072 20926682144 41853364288 204689109721 409378219442 818756438884 1637512877768 3275025755536 6550051511072 13100103022144