Search a number
-
+
12113123012300 = 2252598513241169
BaseRepresentation
bin1011000001000100111001…
…1001001110111011001100
31120220000002100222112122202
42300101032121032323030
53041430133442343200
641432405240501032
72360100323524052
oct260211631167314
946800070875582
1012113123012300
113950168174312
12143773047a778
1369b354c1105b
142dc3c786a1d2
151601542aa1d5
hexb044e64eecc

12113123012300 has 72 divisors (see below), whose sum is σ = 26734244367600. Its totient is φ = 4762547077120.

The previous prime is 12113123012269. The next prime is 12113123012321. The reversal of 12113123012300 is 321032131121.

It is a happy number.

It is a super-2 number, since 2×121131230123002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50106116 + ... + 50347284.

It is an arithmetic number, because the mean of its divisors is an integer number (371308949550).

Almost surely, 212113123012300 is an apocalyptic number.

12113123012300 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 12113123012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367122183800).

12113123012300 is an abundant number, since it is smaller than the sum of its proper divisors (14621121355300).

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

12113123012300 is a wasteful number, since it uses less digits than its factorization.

12113123012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249755 (or 249748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12113123012300 its reverse (321032131121), we get a palindrome (12434155143421).

The spelling of 12113123012300 in words is "twelve trillion, one hundred thirteen billion, one hundred twenty-three million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 8513 17026 34052 42565 85130 170260 212825 241169 425650 482338 502267 851300 964676 1004534 1205845 2009068 2411690 2511335 4823380 5022670 6029225 10045340 12058450 12556675 14228971 24116900 25113350 28457942 50226700 56915884 71144855 142289710 284579420 355724275 711448550 1422897100 2053071697 4106143394 8212286788 10265358485 20530716970 41061433940 51326792425 102653584850 121131230123 205307169700 242262460246 484524920492 605656150615 1211312301230 2422624602460 3028280753075 6056561506150 12113123012300