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1030310112 = 253131943451
BaseRepresentation
bin111101011010010…
…100100011100000
32122210201011202210
4331122110203200
54102224410422
6250123042120
734350330366
oct7532244340
92583634683
101030310112
11489646267
12249070340
131355c0370
149ab9b636
15606bc10c
hex3d6948e0

1030310112 has 96 divisors (see below), whose sum is σ = 3065973120. Its totient is φ = 300326400.

The previous prime is 1030310111. The next prime is 1030310161. The reversal of 1030310112 is 2110130301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030310111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 45437.

It is an arithmetic number, because the mean of its divisors is an integer number (31937220).

Almost surely, 21030310112 is an apocalyptic number.

1030310112 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 1030310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532986560).

1030310112 is an abundant number, since it is smaller than the sum of its proper divisors (2035663008).

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

1030310112 is a wasteful number, since it uses less digits than its factorization.

1030310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43496 (or 43488 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1030310112 is about 32098.4440744407. Note that the first 3 decimals coincide. The cubic root of 1030310112 is about 1010.0029774771.

Adding to 1030310112 its reverse (2110130301), we get a palindrome (3140440413).

The spelling of 1030310112 in words is "one billion, thirty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 43451 86902 130353 173804 260706 347608 521412 564863 695216 825569 1042824 1129726 1390432 1651138 1694589 2085648 2259452 2476707 3302276 3389178 4171296 4518904 4953414 6604552 6778356 9037808 9906828 10732397 13209104 13556712 18075616 19813656 21464794 26418208 27113424 32197191 39627312 42929588 54226848 64394382 79254624 85859176 128788764 171718352 257577528 343436704 515155056 1030310112