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30141234123 = 372111310313921
BaseRepresentation
bin11100000100100011…
…101011101111001011
32212210121001100011120
4130010203223233023
5443212123442443
621502515130323
72114633156100
oct340443535713
985717040146
1030141234123
1111867a39350
125a122a39a3
132ac47150a0
14165d0d0aa7
15bb6226083
hex7048ebbcb

30141234123 has 96 divisors (see below), whose sum is σ = 55459901952. Its totient is φ = 14311987200.

The previous prime is 30141234083. The next prime is 30141234127. The reversal of 30141234123 is 32143214103.

It is a happy number.

It is not a de Polignac number, because 30141234123 - 26 = 30141234059 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 30141234093 and 30141234102.

It is not an unprimeable number, because it can be changed into a prime (30141234127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2158203 + ... + 2172123.

It is an arithmetic number, because the mean of its divisors is an integer number (577707312).

Almost surely, 230141234123 is an apocalyptic number.

30141234123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30141234123 is a deficient number, since it is larger than the sum of its proper divisors (25318667829).

30141234123 is a wasteful number, since it uses less digits than its factorization.

30141234123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30141234123 its reverse (32143214103), we get a palindrome (62284448226).

The spelling of 30141234123 in words is "thirty billion, one hundred forty-one million, two hundred thirty-four thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 103 143 147 231 273 309 429 539 637 721 1001 1133 1339 1617 1911 2163 3003 3399 4017 5047 7007 7931 9373 13921 14729 15141 21021 23793 28119 41763 44187 55517 65611 97447 103103 153131 166551 180973 196833 292341 309309 459393 542919 682129 721721 1071917 1266811 1433863 1990703 2046387 2165163 3215751 3800433 4301589 5972109 7503419 8867677 10037041 13934921 15772493 18640219 22510257 26603031 30111123 41804763 47317479 55920657 70259287 97544447 110407451 130481533 205042409 210777861 292633341 331222353 391444599 615127227 772852157 913370731 1435296863 2318556471 2740112193 4305890589 10047078041 30141234123