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1001233212330 = 2351337437122727
BaseRepresentation
bin11101001000111100010…
…01100110001110101010
310112201100122221002202210
432210132021212032222
5112401011200243310
62043543222305550
7132223330612161
oct16443611461652
93481318832683
101001233212330
1135669105663a
12142066b882b6
137355391b190
14366621403d8
151b09eb62820
hexe91e2663aa

1001233212330 has 256 divisors, whose sum is σ = 2757976252416. Its totient is φ = 230910704640.

The previous prime is 1001233212323. The next prime is 1001233212341. The reversal of 1001233212330 is 332123321001.

1001233212330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001233212297 and 1001233212306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44043427 + ... + 44066153.

It is an arithmetic number, because the mean of its divisors is an integer number (10773344736).

Almost surely, 21001233212330 is an apocalyptic number.

1001233212330 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 1001233212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378988126208).

1001233212330 is an abundant number, since it is smaller than the sum of its proper divisors (1756743040086).

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

1001233212330 is a wasteful number, since it uses less digits than its factorization.

1001233212330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22901.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1001233212330 its reverse (332123321001), we get a palindrome (1333356533331).

The spelling of 1001233212330 in words is "one trillion, one billion, two hundred thirty-three million, two hundred twelve thousand, three hundred thirty".