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12300303200022 = 2342231258327059
BaseRepresentation
bin1011001011111110001100…
…1100111110111100010110
31121112220020021112021210000
42302333203030332330112
53103012010104400042
642054403053512130
72406444660053055
oct262774314767426
947486207467700
1012300303200022
113a12590540832
121467a6a7a2646
136b2bb5299996
143074a30c839c
15164e5c02174c
hexb2fe333ef16

12300303200022 has 80 divisors (see below), whose sum is σ = 27688609428480. Its totient is φ = 4081239746928.

The previous prime is 12300303200021. The next prime is 12300303200063. The reversal of 12300303200022 is 22000230300321.

It is a happy number.

12300303200022 is a `hidden beast` number, since 12 + 300 + 30 + 320 + 0 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12300303199968 and 12300303200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300303200021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454559929 + ... + 454586987.

It is an arithmetic number, because the mean of its divisors is an integer number (346107617856).

Almost surely, 212300303200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300303200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844304714240).

12300303200022 is an abundant number, since it is smaller than the sum of its proper divisors (15388306228458).

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

12300303200022 is a wasteful number, since it uses less digits than its factorization.

12300303200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39879 (or 39870 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12300303200022 its reverse (22000230300321), we get a palindrome (34300533500343).

The spelling of 12300303200022 in words is "twelve trillion, three hundred billion, three hundred three million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 446 669 1338 2007 4014 6021 12042 12583 18063 25166 27059 36126 37749 54118 75498 81177 113247 162354 226494 243531 339741 487062 679482 730593 1019223 1461186 2038446 2191779 2806009 4383558 5612018 6034157 8418027 12068314 16836054 18102471 25254081 36204942 50508162 54307413 75762243 108614826 151524486 162922239 227286729 325844478 340483397 454573458 488766717 680966794 977533434 1021450191 2042900382 3064350573 6128701146 9193051719 18386103438 27579155157 55158310314 75927797531 151855595062 227783392593 455566785186 683350177779 1366700355558 2050050533337 4100101066674 6150151600011 12300303200022