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123443220013300 = 2252111511927338561
BaseRepresentation
bin11100000100010101011101…
…010001110110000011110100
3121012002001112020200211201201
4130010111131101312003310
5112134443203310411200
61114313010555302244
735000323032326035
oct3404253521660364
9535061466624651
10123443220013300
1136372a805a2a40
1211a1815874a984
1353b58517a5475
14226a980210a8c
15e41094cccc6a
hex70455d4760f4

123443220013300 has 144 divisors (see below), whose sum is σ = 294181916402304. Its totient is φ = 44587699200000.

The previous prime is 123443220013271. The next prime is 123443220013301. The reversal of 123443220013300 is 3310022344321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123443220013301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201226020 + ... + 3201264580.

It is an arithmetic number, because the mean of its divisors is an integer number (2042929975016).

Almost surely, 2123443220013300 is an apocalyptic number.

123443220013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123443220013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147090958201152).

123443220013300 is an abundant number, since it is smaller than the sum of its proper divisors (170738696389004).

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

123443220013300 is a wasteful number, since it uses less digits than its factorization.

123443220013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58010 (or 58003 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 123443220013300 its reverse (3310022344321), we get a palindrome (126753242357621).

The spelling of 123443220013300 in words is "one hundred twenty-three trillion, four hundred forty-three billion, two hundred twenty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7550 8305 15100 16610 19273 33220 38546 38561 41525 77092 77122 83050 96365 154244 166100 192730 192805 212003 385460 385610 424006 424171 481825 771220 848012 848342 963650 964025 1060015 1696684 1927300 1928050 2120030 2120855 2910223 3856100 4240060 4241710 5300075 5820446 5822711 8483420 10600150 10604275 11640892 11645422 14551115 21200300 21208550 23290844 29102230 29113555 32012453 42417100 58204460 58227110 64024906 64049821 72755575 116454220 128049812 128099642 145511150 145567775 160062265 256199284 291022300 291135550 320124530 320249105 582271100 640249060 640498210 743186153 800311325 1280996420 1486372306 1600622650 1601245525 2972744612 3201245300 3202491050 3715930765 6404982100 7431861530 8175047683 14863723060 16350095366 18579653825 32700190732 37159307650 40875238415 74318615300 81750476830 112221109103 163500953660 204376192075 224442218206 408752384150 448884436412 561105545515 817504768300 1122211091030 1234432200133 2244422182060 2468864400266 2805527727575 4937728800532 5611055455150 6172161000665 11222110910300 12344322001330 24688644002660 30860805003325 61721610006650 123443220013300