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10313201221200 = 2433524183280613
BaseRepresentation
bin1001011000010011101010…
…1100011111111001010000
31100111221011201120210122000
42112010322230133321100
52322432414003034300
633533452542114000
72113050511656213
oct226047254377120
940457151523560
1010313201221200
113316893252189
1211a692627b900
1359a6b8c4cc07
1427923961977a
1512d40b54ec00
hex9613ab1fe50

10313201221200 has 480 divisors, whose sum is σ = 38055838020480. Its totient is φ = 2650773196800.

The previous prime is 10313201221189. The next prime is 10313201221289. The reversal of 10313201221200 is 212210231301.

10313201221200 is a `hidden beast` number, since 10 + 31 + 3 + 201 + 221 + 200 = 666.

10313201221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103132012212002 (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 36612094 + ... + 36892706.

It is an arithmetic number, because the mean of its divisors is an integer number (79282995876).

Almost surely, 210313201221200 is an apocalyptic number.

10313201221200 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 10313201221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027919010240).

10313201221200 is an abundant number, since it is smaller than the sum of its proper divisors (27742636799280).

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

10313201221200 is a wasteful number, since it uses less digits than its factorization.

10313201221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280764 (or 280747 counting only the distinct ones).

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

Adding to 10313201221200 its reverse (212210231301), we get a palindrome (10525411452501).

The spelling of 10313201221200 in words is "ten trillion, three hundred thirteen billion, two hundred one million, two hundred twenty-one thousand, two hundred".