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1023352412130 = 2335194118126881
BaseRepresentation
bin11101110010001001000…
…11101001011111100010
310121211110012002212122000
432321010203221133202
5113231311204142010
62102042133424430
7133635424660146
oct16710443513742
93554405085560
101023352412130
11365001837854
121463ba79b116
137566a376a99
143775da6d226
151b9469897c0
hexee448e97e2

1023352412130 has 256 divisors, whose sum is σ = 2958998515200. Its totient is φ = 250822656000.

The previous prime is 1023352412113. The next prime is 1023352412153. The reversal of 1023352412130 is 312142533201.

1023352412130 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 524 + 1 + 2 + 130 = 666.

It is a super-2 number, since 2×10233524121302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1023352412094 and 1023352412103.

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, 38056290 + ... + 38083170.

It is an arithmetic number, because the mean of its divisors is an integer number (11558587950).

Almost surely, 21023352412130 is an apocalyptic number.

1023352412130 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 1023352412130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479499257600).

1023352412130 is an abundant number, since it is smaller than the sum of its proper divisors (1935646103070).

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

1023352412130 is a wasteful number, since it uses less digits than its factorization.

1023352412130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27138 (or 27132 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1023352412130 its reverse (312142533201), we get a palindrome (1335494945331).

The spelling of 1023352412130 in words is "one trillion, twenty-three billion, three hundred fifty-two million, four hundred twelve thousand, one hundred thirty".