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1030120000 = 2654713283
BaseRepresentation
bin111101011001100…
…110001001000000
32122210100111222121
4331121212021000
54102202320000
6250115014024
734345606210
oct7531461100
92583314877
101030120000
11489526448
12248b9a314
13135554980
149ab4c240
1560680b1a
hex3d666240

1030120000 has 280 divisors, whose sum is σ = 3154940096. Its totient is φ = 324864000.

The previous prime is 1030119989. The next prime is 1030120027. The reversal of 1030120000 is 210301.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×10301200002 = 2122294428800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3639859 + ... + 3640141.

Almost surely, 21030120000 is an apocalyptic number.

1030120000 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 1030120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577470048).

1030120000 is an abundant number, since it is smaller than the sum of its proper divisors (2124820096).

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

1030120000 is an equidigital number, since it uses as much as digits as its factorization.

1030120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1030120000 is about 32095.4825481718. The cubic root of 1030120000 is about 1009.9408520079.

Adding to 1030120000 its reverse (210301), we get a palindrome (1030330301).

The spelling of 1030120000 in words is "one billion, thirty million, one hundred twenty thousand".