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1030320312 = 233722727017
BaseRepresentation
bin111101011010010…
…111000010111000
32122210201200202120
4331122113002320
54102230222222
6250123201240
734350402210
oct7532270270
92583650676
101030320312
1148965299a
12249076220
131355c4bb8
149aba1240
15606c015c
hex3d6970b8

1030320312 has 64 divisors (see below), whose sum is σ = 2956849920. Its totient is φ = 293069568.

The previous prime is 1030320301. The next prime is 1030320341. The reversal of 1030320312 is 2130230301.

It is a junction number, because it is equal to n+sod(n) for n = 1030320291 and 1030320300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24628 + ... + 51644.

It is an arithmetic number, because the mean of its divisors is an integer number (46200780).

Almost surely, 21030320312 is an apocalyptic number.

1030320312 is a gapful number since it is divisible by the number (12) 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 1030320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478424960).

1030320312 is an abundant number, since it is smaller than the sum of its proper divisors (1926529608).

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

1030320312 is a wasteful number, since it uses less digits than its factorization.

1030320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27260 (or 27256 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1030320312 is about 32098.6029602536. The cubic root of 1030320312 is about 1010.0063104530.

Adding to 1030320312 its reverse (2130230301), we get a palindrome (3160550613).

The spelling of 1030320312 in words is "one billion, thirty million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 227 454 681 908 1362 1589 1816 2724 3178 4767 5448 6356 9534 12712 19068 27017 38136 54034 81051 108068 162102 189119 216136 324204 378238 567357 648408 756476 1134714 1512952 2269428 4538856 6132859 12265718 18398577 24531436 36797154 42930013 49062872 73594308 85860026 128790039 147188616 171720052 257580078 343440104 515160156 1030320312