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12200103030 = 2356756310781
BaseRepresentation
bin10110101110010111…
…01100110001110110
31011111020122110002210
423113023230301312
5144441211244110
65334334314250
7611221110333
oct132713546166
934436573083
1012200103030
1151a0704a85
122445958986
1311c575699b
1483a42998a
154b60ea520
hex2d72ecc76

12200103030 has 64 divisors (see below), whose sum is σ = 29772811008. Its totient is φ = 3198814080.

The previous prime is 12200102983. The next prime is 12200103031. The reversal of 12200103030 is 3030100221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12200102997 and 12200103015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200103031) 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, 1126240 + ... + 1137020.

It is an arithmetic number, because the mean of its divisors is an integer number (465200172).

Almost surely, 212200103030 is an apocalyptic number.

12200103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886405504).

12200103030 is an abundant number, since it is smaller than the sum of its proper divisors (17572707978).

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

12200103030 is a wasteful number, since it uses less digits than its factorization.

12200103030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11421.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12200103030 its reverse (3030100221), we get a palindrome (15230203251).

The spelling of 12200103030 in words is "twelve billion, two hundred million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 563 670 1005 1126 1689 2010 2815 3378 5630 8445 10781 16890 21562 32343 37721 53905 64686 75442 107810 113163 161715 188605 226326 323430 377210 565815 722327 1131630 1444654 2166981 3611635 4333962 6069703 7223270 10834905 12139406 18209109 21669810 30348515 36418218 60697030 91045545 182091090 406670101 813340202 1220010303 2033350505 2440020606 4066701010 6100051515 12200103030