Search a number
-
+
2130330300 = 2235277871289
BaseRepresentation
bin111111011111010…
…0100001010111100
312111110120222210020
41332332210022330
513330331032200
6551220212140
7103535336340
oct17676441274
95443528706
102130330300
119a357475a
124b553a050
1327c47a297
14162d03620
15c7058ea0
hex7efa42bc

2130330300 has 144 divisors (see below), whose sum is σ = 7058714880. Its totient is φ = 485936640.

The previous prime is 2130330277. The next prime is 2130330317. The reversal of 2130330300 is 30330312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2130330300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652056 + ... + 1653344.

Almost surely, 22130330300 is an apocalyptic number.

2130330300 is a gapful number since it is divisible by the number (20) 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 2130330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529357440).

2130330300 is an abundant number, since it is smaller than the sum of its proper divisors (4928384580).

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

2130330300 is a wasteful number, since it uses less digits than its factorization.

2130330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 2130330300 is about 46155.5012972452. The cubic root of 2130330300 is about 1286.7148548208.

Adding to 2130330300 its reverse (30330312), we get a palindrome (2160660612).

The spelling of 2130330300 in words is "two billion, one hundred thirty million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 787 1050 1289 1574 2100 2361 2578 3148 3867 3935 4722 5156 5509 6445 7734 7870 9023 9444 11018 11805 12890 15468 15740 16527 18046 19335 19675 22036 23610 25780 27069 27545 32225 33054 36092 38670 39350 45115 47220 54138 55090 59025 64450 66108 77340 78700 82635 90230 96675 108276 110180 118050 128900 135345 137725 165270 180460 193350 225575 236100 270690 275450 330540 386700 413175 451150 541380 550900 676725 826350 902300 1014443 1353450 1652700 2028886 2706900 3043329 4057772 5072215 6086658 7101101 10144430 12173316 14202202 15216645 20288860 21303303 25361075 28404404 30433290 35505505 42606606 50722150 60866580 71011010 76083225 85213212 101444300 106516515 142022020 152166450 177527525 213033030 304332900 355055050 426066060 532582575 710110100 1065165150 2130330300