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1030210032000 = 27353211101719
BaseRepresentation
bin11101111110111010100…
…11011001000110000000
310122111011002221001121010
432333131103121012000
5113334332232011000
62105134424200520
7134300364534042
oct16773523310600
93574132831533
101030210032000
11367a00784096
121477b3309140
13761c101b216
1437c10725a92
151bbe8a2bd50
hexefdd4d9180

1030210032000 has 256 divisors, whose sum is σ = 3431365516800. Its totient is φ = 273417984000.

The previous prime is 1030210031999. The next prime is 1030210032011. The reversal of 1030210032000 is 2300120301.

It is a happy number.

It is a super-2 number, since 2×10302100320002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10077141 + ... + 10178859.

It is an arithmetic number, because the mean of its divisors is an integer number (13403771550).

Almost surely, 21030210032000 is an apocalyptic number.

1030210032000 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 1030210032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715682758400).

1030210032000 is an abundant number, since it is smaller than the sum of its proper divisors (2401155484800).

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

1030210032000 is a wasteful number, since it uses less digits than its factorization.

1030210032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101962 (or 101940 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1030210032000 its reverse (2300120301), we get a palindrome (1032510152301).

The spelling of 1030210032000 in words is "one trillion, thirty billion, two hundred ten million, thirty-two thousand".