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20300220131331 = 377968711780879
BaseRepresentation
bin1001001110110100000110…
…11010001110100000000011
32122212200102020121100211010
410213122003122032200003
510130044322323200311
6111101443053252003
74163433244025460
oct447320332164003
978780366540733
1020300220131331
116517303047258
12233a39a794003
13b433c18c7a6a
14502770702667
152530c6a28da6
hex12768368e803

20300220131331 has 32 divisors (see below), whose sum is σ = 31329810841600. Its totient is φ = 11451615420960.

The previous prime is 20300220131281. The next prime is 20300220131353. The reversal of 20300220131331 is 13313102200302.

It is not a de Polignac number, because 20300220131331 - 27 = 20300220131203 is a prime.

It is a super-2 number, since 2×203002201313312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20300220131298 and 20300220131307.

It is not an unprimeable number, because it can be changed into a prime (20300228131331) 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 31 ways as a sum of consecutive naturals, for example, 10508550 + ... + 12289428.

It is an arithmetic number, because the mean of its divisors is an integer number (979056588800).

Almost surely, 220300220131331 is an apocalyptic number.

20300220131331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20300220131331 is a deficient number, since it is larger than the sum of its proper divisors (11029590710269).

20300220131331 is a wasteful number, since it uses less digits than its factorization.

20300220131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787839.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20300220131331 its reverse (13313102200302), we get a palindrome (33613322331633).

The spelling of 20300220131331 in words is "twenty trillion, three hundred billion, two hundred twenty million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 79 237 553 1659 6871 20613 48097 144291 542809 1628427 1780879 3799663 5342637 11398989 12466153 37398459 140689441 422068323 984826087 2954478261 12236419609 36709258827 85654937263 256964811789 966677149111 2900031447333 6766740043777 20300220131331