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30423312420 = 223515711632777
BaseRepresentation
bin11100010101010111…
…101110100000100100
32220112020211101211220
4130111113232200210
5444301331444140
621550513100340
72124626613564
oct342527564044
986466741756
1030423312420
11119a2191a06
125a908576b0
132b3aca9717
14168875ada4
15bd0d94bd0
hex7155ee824

30423312420 has 96 divisors (see below), whose sum is σ = 85832466048. Its totient is φ = 8051377152.

The previous prime is 30423312397. The next prime is 30423312427. The reversal of 30423312420 is 2421332403.

It is not an unprimeable number, because it can be changed into a prime (30423312427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10954072 + ... + 10956848.

It is an arithmetic number, because the mean of its divisors is an integer number (894088188).

Almost surely, 230423312420 is an apocalyptic number.

30423312420 is a gapful number since it is divisible by the number (30) 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 30423312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42916233024).

30423312420 is an abundant number, since it is smaller than the sum of its proper divisors (55409153628).

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

30423312420 is a wasteful number, since it uses less digits than its factorization.

30423312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30423312420 its reverse (2421332403), we get a palindrome (32844644823).

The spelling of 30423312420 in words is "thirty billion, four hundred twenty-three million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1163 1570 1884 2326 2355 2777 3140 3489 4652 4710 5554 5815 6978 8331 9420 11108 11630 13885 13956 16662 17445 23260 27770 33324 34890 41655 55540 69780 83310 166620 182591 365182 435989 547773 730364 871978 912955 1095546 1307967 1743956 1825910 2179945 2191092 2615934 2738865 3229651 3651820 4359890 5231868 5477730 6459302 6539835 8719780 9688953 10955460 12918604 13079670 16148255 19377906 26159340 32296510 38755812 48444765 64593020 96889530 193779060 507055207 1014110414 1521165621 2028220828 2535276035 3042331242 5070552070 6084662484 7605828105 10141104140 15211656210 30423312420