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2023130130 = 235722635233
BaseRepresentation
bin111100010010110…
…1000010000010010
312012222212122210120
41320211220100102
513120410131010
6532430411110
7101064215400
oct17045502022
95188778716
102023130130
1194900567a
12485660a96
132631b5428
1415299a470
15bc930e70
hex78968412

2023130130 has 96 divisors (see below), whose sum is σ = 5670808704. Its totient is φ = 460583424.

The previous prime is 2023130129. The next prime is 2023130147. The reversal of 2023130130 is 310313202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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, 383994 + ... + 389226.

It is an arithmetic number, because the mean of its divisors is an integer number (59070924).

Almost surely, 22023130130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835404352).

2023130130 is an abundant number, since it is smaller than the sum of its proper divisors (3647678574).

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

2023130130 is a wasteful number, since it uses less digits than its factorization.

2023130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5513 counting only the distinct ones).

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

The square root of 2023130130 is about 44979.2188682729. The cubic root of 2023130130 is about 1264.7594682940.

Adding to 2023130130 its reverse (310313202), we get a palindrome (2333443332).

The spelling of 2023130130 in words is "two billion, twenty-three million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 263 294 490 526 735 789 1315 1470 1578 1841 2630 3682 3945 5233 5523 7890 9205 10466 11046 12887 15699 18410 25774 26165 27615 31398 36631 38661 52330 55230 64435 73262 77322 78495 109893 128870 156990 183155 193305 219786 256417 366310 386610 512834 549465 769251 1098930 1282085 1376279 1538502 2564170 2752558 3846255 4128837 6881395 7692510 8257674 9633953 13762790 19267906 20644185 28901859 41288370 48169765 57803718 67437671 96339530 134875342 144509295 202313013 289018590 337188355 404626026 674376710 1011565065 2023130130