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1030132303200 = 25325271113373863
BaseRepresentation
bin11101111110110001010…
…10111000010101100000
310122110221200200000201200
432333120222320111200
5113334202332200300
62105123010201200
7134265432050340
oct16773052702540
93573850600650
101030132303200
11367970914310
12147791283200
13761aaba4850
1437c04290d20
151bbe1cc6200
hexefd8ab8560

1030132303200 has 1728 divisors, whose sum is σ = 5010321318912. Its totient is φ = 192197836800.

The previous prime is 1030132303199. The next prime is 1030132303219. The reversal of 1030132303200 is 23032310301.

1030132303200 is a `hidden beast` number, since 1 + 0 + 30 + 132 + 303 + 200 = 666.

It is a super-2 number, since 2×10301323032002 (a number of 25 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 287 ways as a sum of consecutive naturals, for example, 266664469 + ... + 266668331.

It is an arithmetic number, because the mean of its divisors is an integer number (2899491504).

Almost surely, 21030132303200 is an apocalyptic number.

1030132303200 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 1030132303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505160659456).

1030132303200 is an abundant number, since it is smaller than the sum of its proper divisors (3980189015712).

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

1030132303200 is a wasteful number, since it uses less digits than its factorization.

1030132303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1030132303200 its reverse (23032310301), we get a palindrome (1053164613501).

The spelling of 1030132303200 in words is "one trillion, thirty billion, one hundred thirty-two million, three hundred three thousand, two hundred".