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302204311420 = 2251153190713591
BaseRepresentation
bin1000110010111001100…
…01111101011101111100
31001220001010201122112211
410121130301331131330
514422403300431140
6350455235110204
730555622156264
oct4313461753574
91056033648484
10302204311420
11107189501080
124a69b742364
132266170c7ab
14108abbc27a4
157cdae7d2ea
hex465cc7d77c

302204311420 has 96 divisors (see below), whose sum is σ = 705807115776. Its totient is φ = 107754566400.

The previous prime is 302204311403. The next prime is 302204311427. The reversal of 302204311420 is 24113402203.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 302204311391 and 302204311400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302204311427) 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 31 ways as a sum of consecutive naturals, for example, 22228825 + ... + 22242415.

It is an arithmetic number, because the mean of its divisors is an integer number (7352157456).

Almost surely, 2302204311420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302204311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352903557888).

302204311420 is an abundant number, since it is smaller than the sum of its proper divisors (403602804356).

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

302204311420 is a wasteful number, since it uses less digits than its factorization.

302204311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15571 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 302204311420 its reverse (24113402203), we get a palindrome (326317713623).

The spelling of 302204311420 in words is "three hundred two billion, two hundred four million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 1907 2332 2915 3814 5830 7628 9535 11660 13591 19070 20977 27182 38140 41954 54364 67955 83908 101071 104885 135910 149501 202142 209770 271820 299002 404284 419540 505355 598004 720323 747505 1010710 1111781 1440646 1495010 2021420 2223562 2881292 2990020 3601615 4447124 5558905 7203230 7923553 11117810 14406460 15847106 22235620 25918037 31694212 39617765 51836074 79235530 103672148 129590185 158471060 259180370 285098407 518360740 570196814 1140393628 1373655961 1425492035 2747311922 2850984070 5494623844 5701968140 6868279805 13736559610 15110215571 27473119220 30220431142 60440862284 75551077855 151102155710 302204311420