Search a number
-
+
12012230100 = 223521314932063
BaseRepresentation
bin10110010111111110…
…00001010111010100
31011000011010111220010
423023333001113110
5144100112330400
65303543440220
7603450162003
oct131377012724
934004114803
1012012230100
1151046552a2
1223b2a56070
131195857480
1481d4c2c3a
154a4889450
hex2cbfc15d4

12012230100 has 144 divisors (see below), whose sum is σ = 37472101632. Its totient is φ = 2953443840.

The previous prime is 12012230063. The next prime is 12012230147. The reversal of 12012230100 is 103221021.

It is a super-3 number, since 3×120122301003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5821669 + ... + 5823731.

It is an arithmetic number, because the mean of its divisors is an integer number (260222928).

Almost surely, 212012230100 is an apocalyptic number.

12012230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18736050816).

12012230100 is an abundant number, since it is smaller than the sum of its proper divisors (25459871532).

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

12012230100 is a wasteful number, since it uses less digits than its factorization.

12012230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12012230100 its reverse (103221021), we get a palindrome (12115451121).

The spelling of 12012230100 in words is "twelve billion, twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1493 1950 2063 2986 3900 4126 4479 5972 6189 7465 8252 8958 10315 12378 14930 17916 19409 20630 22395 24756 26819 29860 30945 37325 38818 41260 44790 51575 53638 58227 61890 74650 77636 80457 89580 97045 103150 107276 111975 116454 123780 134095 149300 154725 160914 194090 206300 223950 232908 268190 291135 309450 321828 388180 402285 447900 485225 536380 582270 618900 670475 804570 970450 1164540 1340950 1455675 1609140 1940900 2011425 2681900 2911350 3080059 4022850 5822700 6160118 8045700 9240177 12320236 15400295 18480354 30800590 36960708 40040767 46200885 61601180 77001475 80081534 92401770 120122301 154002950 160163068 184803540 200203835 231004425 240244602 308005900 400407670 462008850 480489204 600611505 800815340 924017700 1001019175 1201223010 2002038350 2402446020 3003057525 4004076700 6006115050 12012230100