Search a number
-
+
12103102222200 = 23325211259941861
BaseRepresentation
bin1011000000011111100100…
…0110111100111101111000
31120212001020000002122212200
42300013321012330331320
53041244123132102300
641424031032310200
72356264104312423
oct260077106747570
946761200078780
1012103102222200
11394699574a400
1214357b4542360
1369a418b24962
142dbb16a549ba
1515ec69692200
hexb01f91bcf78

12103102222200 has 432 divisors, whose sum is σ = 45434575204200. Its totient is φ = 2884352064000.

The previous prime is 12103102222193. The next prime is 12103102222213. The reversal of 12103102222200 is 222220130121.

12103102222200 is a `hidden beast` number, since 1 + 210 + 3 + 10 + 222 + 220 + 0 = 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 107 ways as a sum of consecutive naturals, for example, 12379270 + ... + 13321130.

Almost surely, 212103102222200 is an apocalyptic number.

12103102222200 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 12103102222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22717287602100).

12103102222200 is an abundant number, since it is smaller than the sum of its proper divisors (33331472982000).

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

12103102222200 is a wasteful number, since it uses less digits than its factorization.

12103102222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941964 (or 941941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12103102222200 its reverse (222220130121), we get a palindrome (12325322352321).

The spelling of 12103102222200 in words is "twelve trillion, one hundred three billion, one hundred two million, two hundred twenty-two thousand, two hundred".