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12210131330100 = 22345211472915713
BaseRepresentation
bin1011000110101110010010…
…0010100110010000110100
31121020021111001020200110000
42301223210202212100310
53100022322110030400
641545131253431300
72400103302602034
oct261534442462064
947207431220400
1012210131330100
113988318900290
1214524a433b530
136a754498c232
14302d8b44b8c4
15162930a45600
hexb1ae48a6434

12210131330100 has 360 divisors, whose sum is σ = 44097351838848. Its totient is φ = 2897051443200.

The previous prime is 12210131330081. The next prime is 12210131330153. The reversal of 12210131330100 is 103313101221.

12210131330100 is a `hidden beast` number, since 1 + 221 + 0 + 1 + 313 + 30 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2729844 + ... + 5645556.

Almost surely, 212210131330100 is an apocalyptic number.

12210131330100 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 12210131330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048675919424).

12210131330100 is an abundant number, since it is smaller than the sum of its proper divisors (31887220508748).

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

12210131330100 is a wasteful number, since it uses less digits than its factorization.

12210131330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915797 (or 2915781 counting only the distinct ones).

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

Adding to 12210131330100 its reverse (103313101221), we get a palindrome (12313444431321).

The spelling of 12210131330100 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, three hundred thirty thousand, one hundred".