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13102302312020 = 225655115115601
BaseRepresentation
bin1011111010101001111000…
…0100110011011001010100
31201101120022222100102212202
42332222132010303121110
53204132003342441040
643511040430104032
72521416160041005
oct276523604633124
951346288312782
1013102302312020
1141a17230959a9
12157739264b018
1374070746c45c
14334224b571ac
1517ac4aa9d015
hexbea9e133654

13102302312020 has 12 divisors (see below), whose sum is σ = 27514834855284. Its totient is φ = 5240920924800.

The previous prime is 13102302312019. The next prime is 13102302312023. The reversal of 13102302312020 is 2021320320131.

It can be written as a sum of positive squares in 2 ways, for example, as 4166244335044 + 8936057976976 = 2041138^2 + 2989324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 655115115601 = 13102302312020 / (1 + 3 + 1 + 0 + 2 + 3 + 0 + 2 + 3 + 1 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 13102302311983 and 13102302312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102302312023) 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, 327557557781 + ... + 327557557820.

It is an arithmetic number, because the mean of its divisors is an integer number (2292902904607).

Almost surely, 213102302312020 is an apocalyptic number.

13102302312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102302312020 is an abundant number, since it is smaller than the sum of its proper divisors (14412532543264).

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

13102302312020 is a wasteful number, since it uses less digits than its factorization.

13102302312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655115115610 (or 655115115608 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13102302312020 its reverse (2021320320131), we get a palindrome (15123622632151).

The spelling of 13102302312020 in words is "thirteen trillion, one hundred two billion, three hundred two million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 655115115601 1310230231202 2620460462404 3275575578005 6551151156010 13102302312020