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30344110211331 = 337449357574271
BaseRepresentation
bin1101110011001000010011…
…11010010000000100000011
310222102212110012202200201000
412321210021322100010003
512434124214203230311
6144311520343143043
76251201224051020
oct671441172200403
9128385405680630
1030344110211331
119739957165a64
1234a0a85144a83
1313c158ba1c407
1476c93c8dc547
153794bec15056
hex1b9909e90103

30344110211331 has 32 divisors (see below), whose sum is σ = 51490695168000. Its totient is φ = 17300873479680.

The previous prime is 30344110211323. The next prime is 30344110211399. The reversal of 30344110211331 is 13311201144303.

30344110211331 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 4 + 110 + 211 + 331 = 666.

It is not a de Polignac number, because 30344110211331 - 23 = 30344110211323 is a prime.

It is a super-2 number, since 2×303441102113312 (a number of 28 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 = 30344110211295 and 30344110211304.

It is not an unprimeable number, because it can be changed into a prime (30344110211131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178702275 + ... + 178871996.

It is an arithmetic number, because the mean of its divisors is an integer number (1609084224000).

Almost surely, 230344110211331 is an apocalyptic number.

30344110211331 is a deficient number, since it is larger than the sum of its proper divisors (21146584956669).

30344110211331 is a wasteful number, since it uses less digits than its factorization.

30344110211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357574736 (or 357574730 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 30344110211331 its reverse (13311201144303), we get a palindrome (43655311355634).

The spelling of 30344110211331 in words is "thirty trillion, three hundred forty-four billion, one hundred ten million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 449 1347 3143 4041 9429 12123 28287 84861 357574271 1072722813 2503019897 3218168439 7509059691 9654505317 22527179073 67581537219 160550847679 481652543037 1123855933753 1444957629111 3371567801259 4334872887333 10114703403777 30344110211331