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12130233104 = 24114116310313
BaseRepresentation
bin10110100110000010…
…01010101100010000
31011022101011200120202
423103001022230100
5144320314424404
65323400554332
7606412165043
oct132301125420
934271150522
1012130233104
115165222740
1224264829a8
1311b4132432
1483103cc5a
154aede821e
hex2d304ab10

12130233104 has 80 divisors (see below), whose sum is σ = 26427933504. Its totient is φ = 5345740800.

The previous prime is 12130233077. The next prime is 12130233107. The reversal of 12130233104 is 40133203121.

It is not an unprimeable number, because it can be changed into a prime (12130233107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171052 + ... + 1181364.

Almost surely, 212130233104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213966752).

12130233104 is an abundant number, since it is smaller than the sum of its proper divisors (14297700400).

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

12130233104 is a wasteful number, since it uses less digits than its factorization.

12130233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12130233104 its reverse (40133203121), we get a palindrome (52263436225).

The spelling of 12130233104 in words is "twelve billion, one hundred thirty million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 163 164 176 326 328 451 652 656 902 1304 1793 1804 2608 3586 3608 6683 7172 7216 10313 13366 14344 20626 26732 28688 41252 53464 73513 82504 106928 113443 147026 165008 226886 294052 422833 453772 588104 845666 907544 1176208 1681019 1691332 1815088 3362038 3382664 4651163 6724076 6765328 9302326 13448152 18491209 18604652 26896304 36982418 37209304 68921779 73964836 74418608 137843558 147929672 275687116 295859344 551374232 758139569 1102748464 1516279138 3032558276 6065116552 12130233104