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30202313424 = 24317293126323
BaseRepresentation
bin11100001000001100…
…101011101011010000
32212221211222111012220
4130020030223223100
5443323243012144
621512540221040
72116304266623
oct341014535320
985854874186
1030202313424
1111899467108
125a2a83a780
132b0427c39a
14166726ddba
15bbb78d919
hex70832bad0

30202313424 has 80 divisors (see below), whose sum is σ = 82894819392. Its totient is φ = 9442822144.

The previous prime is 30202313387. The next prime is 30202313429. The reversal of 30202313424 is 42431320203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30202313394 and 30202313403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30202313429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175927 + ... + 302249.

Almost surely, 230202313424 is an apocalyptic number.

30202313424 is a gapful number since it is divisible by the number (34) 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 30202313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41447409696).

30202313424 is an abundant number, since it is smaller than the sum of its proper divisors (52692505968).

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

30202313424 is a wasteful number, since it uses less digits than its factorization.

30202313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126644 (or 126638 counting only the distinct ones).

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

Adding to 30202313424 its reverse (42431320203), we get a palindrome (72633633627).

The spelling of 30202313424 in words is "thirty billion, two hundred two million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 293 408 586 816 879 1172 1758 2344 3516 4688 4981 7032 9962 14064 14943 19924 29886 39848 59772 79696 119544 126323 239088 252646 378969 505292 757938 1010584 1515876 2021168 2147491 3031752 4294982 6063504 6442473 8589964 12884946 17179928 25769892 34359856 37012639 51539784 74025278 103079568 111037917 148050556 222075834 296101112 444151668 592202224 629214863 888303336 1258429726 1776606672 1887644589 2516859452 3775289178 5033718904 7550578356 10067437808 15101156712 30202313424