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13357300302 = 23553641809
BaseRepresentation
bin11000111000010100…
…00011101001001110
31021110220010011100000
430130022003221032
5204323432102202
610045233145130
7652002115323
oct143412035116
937426104300
1013357300302
115734936465
1227093bb1a6
13134b4129b8
14909db6b4a
155329cd91c
hex31c283a4e

13357300302 has 96 divisors (see below), whose sum is σ = 30664539360. Its totient is φ = 4356218880.

The previous prime is 13357300291. The next prime is 13357300321. The reversal of 13357300302 is 20300375331.

13357300302 is a `hidden beast` number, since 1 + 3 + 3 + 57 + 300 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16510474 + ... + 16511282.

It is an arithmetic number, because the mean of its divisors is an integer number (319422285).

Almost surely, 213357300302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357300302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332269680).

13357300302 is an abundant number, since it is smaller than the sum of its proper divisors (17307239058).

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

13357300302 is an equidigital number, since it uses as much as digits as its factorization.

13357300302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

Adding to 13357300302 its reverse (20300375331), we get a palindrome (33657675633).

The spelling of 13357300302 in words is "thirteen billion, three hundred fifty-seven million, three hundred thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 641 809 954 1282 1431 1618 1923 2427 2862 3846 4293 4854 5769 7281 8586 11538 12879 14562 17307 21843 25758 33973 34614 42877 43686 51921 65529 67946 85754 101919 103842 128631 131058 155763 196587 203838 257262 305757 311526 385893 393174 518569 611514 771786 917271 1037138 1157679 1555707 1834542 2315358 2751813 3111414 3473037 4667121 5503626 6946074 8255439 9334242 10419111 14001363 16510878 20838222 27484157 28002726 42004089 54968314 82452471 84008178 126012267 164904942 247357413 252024534 494714826 742072239 1484144478 2226216717 4452433434 6678650151 13357300302