Search a number
-
+
12103221230100 = 2232527211133751871
BaseRepresentation
bin1011000000100000000000…
…1100111011101000010100
31120212001112022000220000200
42300020000030323220110
53041244344113330400
641424050523140500
72356300051002300
oct260100014735024
946761468026020
1012103221230100
113946a46943840
121435828374730
1369a437692130
142dbb28792d00
1515ec74d4db00
hexb020033ba14

12103221230100 has 1296 divisors, whose sum is σ = 53248062905856. Its totient is φ = 2258710272000.

The previous prime is 12103221230099. The next prime is 12103221230147. The reversal of 12103221230100 is 103212230121.

12103221230100 is a `hidden beast` number, since 1 + 2 + 10 + 322 + 1 + 230 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 233307165 + ... + 233359035.

Almost surely, 212103221230100 is an apocalyptic number.

12103221230100 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 12103221230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26624031452928).

12103221230100 is an abundant number, since it is smaller than the sum of its proper divisors (41144841675756).

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

12103221230100 is a wasteful number, since it uses less digits than its factorization.

12103221230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51966 (or 51949 counting only the distinct ones).

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

Adding to 12103221230100 its reverse (103212230121), we get a palindrome (12206433460221).

It can be divided in two parts, 12103221 and 230100, that added together give a palindrome (12333321).

The spelling of 12103221230100 in words is "twelve trillion, one hundred three billion, two hundred twenty-one million, two hundred thirty thousand, one hundred".