Search a number
-
+
12030110604 = 2235193121013
BaseRepresentation
bin10110011010000110…
…01110101110001100
31011001101202221100000
423031003032232030
5144114202014404
65305423004300
7604055152521
oct131503165614
934041687300
1012030110604
115113758176
1223b8a39690
131199477c55
14821a19148
154a621c339
hex2cd0ceb8c

12030110604 has 144 divisors (see below), whose sum is σ = 34267950080. Its totient is φ = 3676259520.

The previous prime is 12030110593. The next prime is 12030110621. The reversal of 12030110604 is 40601103021.

It is a happy number.

12030110604 is a `hidden beast` number, since 1 + 20 + 30 + 1 + 10 + 604 = 666.

12030110604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120301106042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 562002 + ... + 583014.

Almost surely, 212030110604 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 12030110604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133975040).

12030110604 is an abundant number, since it is smaller than the sum of its proper divisors (22237839476).

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

12030110604 is a wasteful number, since it uses less digits than its factorization.

12030110604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21082 (or 21068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12030110604 its reverse (40601103021), we get a palindrome (52631213625).

The spelling of 12030110604 in words is "twelve billion, thirty million, one hundred ten thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 243 279 324 342 372 486 513 558 589 684 837 972 1026 1116 1178 1539 1674 1767 2052 2356 2511 3078 3348 3534 4617 5022 5301 6156 7068 7533 9234 10044 10602 15066 15903 18468 21013 21204 30132 31806 42026 47709 63039 63612 84052 95418 126078 143127 189117 190836 252156 286254 378234 399247 567351 572508 651403 756468 798494 1134702 1197741 1302806 1596988 1702053 1954209 2269404 2395482 2605612 3404106 3593223 3908418 4790964 5106159 5862627 6808212 7186446 7816836 10212318 10779669 11725254 12376657 14372892 17587881 20424636 21559338 23450508 24753314 32339007 35175762 37129971 43118676 49506628 52763643 64678014 70351524 74259942 97017021 105527286 111389913 129356028 148519884 158290929 194034042 211054572 222779826 316581858 334169739 388068084 445559652 633163716 668339478 1002509217 1336678956 2005018434 3007527651 4010036868 6015055302 12030110604