Search a number
-
+
12011020313100 = 22352103388706159
BaseRepresentation
bin1010111011001000100010…
…0110010110001000001100
31120112020112122202000100220
42232302020212112020030
53033242032200004400
641313441521351340
72346524165100144
oct256621046261014
946466478660326
1012011020313100
113910932927186
12141b996498550
136918328aa003
142d749d459924
1515c67a6737a0
hexaec8899620c

12011020313100 has 72 divisors (see below), whose sum is σ = 35089282475520. Its totient is φ = 3171842249280.

The previous prime is 12011020313087. The next prime is 12011020313107. The reversal of 12011020313100 is 131302011021.

It is a happy number.

It is a super-2 number, since 2×120110203131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011020313100.

It is not an unprimeable number, because it can be changed into a prime (12011020313107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194322180 + ... + 194383979.

Almost surely, 212011020313100 is an apocalyptic number.

12011020313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011020313100 is an abundant number, since it is smaller than the sum of its proper divisors (23078262162420).

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

12011020313100 is a wasteful number, since it uses less digits than its factorization.

12011020313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388706279 (or 388706272 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12011020313100 its reverse (131302011021), we get a palindrome (12142322324121).

The spelling of 12011020313100 in words is "twelve trillion, eleven billion, twenty million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 15450 30900 388706159 777412318 1166118477 1554824636 1943530795 2332236954 3887061590 4664473908 5830592385 7774123180 9717653975 11661184770 19435307950 23322369540 29152961925 38870615900 40036734377 58305923850 80073468754 116611847700 120110203131 160146937508 200183671885 240220406262 400367343770 480440812524 600551015655 800734687540 1000918359425 1201102031310 2001836718850 2402204062620 3002755078275 4003673437700 6005510156550 12011020313100