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30204434331 = 3437107131719
BaseRepresentation
bin11100001000010100…
…110001011110011011
32212221222222020120000
4130020110301132123
5443324313344311
621513053504043
72116331312211
oct341024613633
985858866500
1030204434331
111189a685625
125a2b4a2023
132b04842866
141667662cb1
15bbba5c056
hex70853179b

30204434331 has 80 divisors (see below), whose sum is σ = 47195343360. Its totient is φ = 19234013760.

The previous prime is 30204434329. The next prime is 30204434339. The reversal of 30204434331 is 13343440203.

It is not a de Polignac number, because 30204434331 - 21 = 30204434329 is a prime.

It is a super-2 number, since 2×302044343312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30204434295 and 30204434304.

It is not an unprimeable number, because it can be changed into a prime (30204434339) 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 79 ways as a sum of consecutive naturals, for example, 42008590 + ... + 42009308.

It is an arithmetic number, because the mean of its divisors is an integer number (589941792).

Almost surely, 230204434331 is an apocalyptic number.

30204434331 is a deficient number, since it is larger than the sum of its proper divisors (16990909029).

30204434331 is a wasteful number, since it uses less digits than its factorization.

30204434331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30204434331 its reverse (13343440203), we get a palindrome (43547874534).

The spelling of 30204434331 in words is "thirty billion, two hundred four million, four hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 81 107 111 131 321 333 393 719 963 999 1179 2157 2889 2997 3537 3959 4847 6471 8667 10611 11877 14017 14541 19413 26603 35631 42051 43623 58239 76933 79809 94189 106893 126153 130869 230799 239427 282567 320679 378459 392607 518629 692397 718281 847701 1135377 1555887 2077191 2154843 2543103 2846521 3484993 4667661 6231573 7629309 8539563 10078223 10454979 14002983 25618689 30234669 31364937 42008949 76856067 90704007 94094811 230568201 272112021 282284433 372894251 816336063 1118682753 3356048259 10068144777 30204434331