Search a number
-
+
12103113100320 = 2533511254695141
BaseRepresentation
bin1011000000011111100111…
…0000011100110000100000
31120212001020202120022212000
42300013321300130300200
53041244133423202240
641424032101404000
72356264265630154
oct260077160346040
946761222508760
1012103113100320
1139469a08aa290
1214357b8109600
1369a41b163108
142dbb18287064
1515ec6a5e0430
hexb01f9c1cc20

12103113100320 has 192 divisors, whose sum is σ = 46211886564480. Its totient is φ = 2934088012800.

The previous prime is 12103113100319. The next prime is 12103113100321. The reversal of 12103113100320 is 2300131130121.

12103113100320 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 31 + 1 + 310 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (12103113100319) and next prime (12103113100321).

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

It is a junction number, because it is equal to n+sod(n) for n = 12103113100293 and 12103113100302.

It is not an unprimeable number, because it can be changed into a prime (12103113100321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127300051 + ... + 127395090.

It is an arithmetic number, because the mean of its divisors is an integer number (240686909190).

Almost surely, 212103113100320 is an apocalyptic number.

12103113100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103113100320 is an abundant number, since it is smaller than the sum of its proper divisors (34108773464160).

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

12103113100320 is a wasteful number, since it uses less digits than its factorization.

12103113100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254695176 (or 254695162 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12103113100320 its reverse (2300131130121), we get a palindrome (14403244230441).

The spelling of 12103113100320 in words is "twelve trillion, one hundred three billion, one hundred thirteen million, one hundred thousand, three hundred twenty".