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13131010144 = 257394314867
BaseRepresentation
bin11000011101010101…
…10101000001100000
31020220010022102121001
430032222311001200
5203343014311034
610010551041344
7643253513260
oct141652650140
936803272531
1013131010144
1156291272aa
122665670254
1313135821b5
148c7d0d7a0
1551cbcea14
hex30eab5060

13131010144 has 48 divisors (see below), whose sum is σ = 29554253568. Its totient is φ = 5625770112.

The previous prime is 13131010111. The next prime is 13131010153. The reversal of 13131010144 is 44101013131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875799 + ... + 890665.

It is an arithmetic number, because the mean of its divisors is an integer number (615713616).

Almost surely, 213131010144 is an apocalyptic number.

13131010144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13131010144 is an abundant number, since it is smaller than the sum of its proper divisors (16423243424).

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

13131010144 is a wasteful number, since it uses less digits than its factorization.

13131010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18827 (or 18819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13131010144 its reverse (44101013131), we get a palindrome (57232023275).

The spelling of 13131010144 in words is "thirteen billion, one hundred thirty-one million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3943 7886 14867 15772 27601 29734 31544 55202 59468 63088 104069 110404 118936 126176 208138 220808 237872 416276 441616 475744 832552 883232 1665104 3330208 58620581 117241162 234482324 410344067 468964648 820688134 937929296 1641376268 1875858592 3282752536 6565505072 13131010144