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1224260663130 = 23251392332631597
BaseRepresentation
bin10001110100001011100…
…111110011011101011010
311100001000211102111021100
4101310023213303131122
5130024241212210010
62334230110452230
7154310214636231
oct21641347633532
94301024374240
101224260663130
1143222a25640a
1217932a504076
138b5a78bb08b
144337c617b18
1521ca4a1a2c0
hex11d0b9f375a

1224260663130 has 192 divisors, whose sum is σ = 3234003252480. Its totient is φ = 321301306368.

The previous prime is 1224260663099. The next prime is 1224260663149. The reversal of 1224260663130 is 313660624221.

1224260663130 is a `hidden beast` number, since 1 + 2 + 2 + 42 + 606 + 6 + 3 + 1 + 3 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766599492 + ... + 766601088.

It is an arithmetic number, because the mean of its divisors is an integer number (16843766940).

Almost surely, 21224260663130 is an apocalyptic number.

1224260663130 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 1224260663130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617001626240).

1224260663130 is an abundant number, since it is smaller than the sum of its proper divisors (2009742589350).

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

1224260663130 is a wasteful number, since it uses less digits than its factorization.

1224260663130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1224260663130 in words is "one trillion, two hundred twenty-four billion, two hundred sixty million, six hundred sixty-three thousand, one hundred thirty".