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1030102320 = 2435132109233
BaseRepresentation
bin111101011001100…
…001110100110000
32122210022121201210
4331121201310300
54102201233240
6250114400120
734345503522
oct7531416460
92583277653
101030102320
11489514135
12248b90040
13135549900
149ab45a12
156067a780
hex3d661d30

1030102320 has 240 divisors, whose sum is σ = 3504552480. Its totient is φ = 250159104.

The previous prime is 1030102319. The next prime is 1030102331. The reversal of 1030102320 is 232010301.

It is a happy number.

1030102320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10301023202 = 2122221579338764800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1030102296 and 1030102305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4420924 + ... + 4421156.

It is an arithmetic number, because the mean of its divisors is an integer number (14602302).

Almost surely, 21030102320 is an apocalyptic number.

1030102320 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 1030102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752276240).

1030102320 is an abundant number, since it is smaller than the sum of its proper divisors (2474450160).

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

1030102320 is a wasteful number, since it uses less digits than its factorization.

1030102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

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

The square root of 1030102320 is about 32095.2071188207. The cubic root of 1030102320 is about 1009.9350740868.

Adding to 1030102320 its reverse (232010301), we get a palindrome (1262112621).

The spelling of 1030102320 in words is "one billion, thirty million, one hundred two thousand, three hundred twenty".