Search a number
-
+
2130001300 = 22527732571
BaseRepresentation
bin111111011110101…
…0011110110010100
312111102222021111001
41332331103312110
513330240020200
6551205153044
7103532466220
oct17675236624
95442867431
102130001300
119a336a559
124b53bb784
1327c3935cb
14162c59780
15c6ee176a
hex7ef53d94

2130001300 has 108 divisors (see below), whose sum is σ = 5365135776. Its totient is φ = 719020800.

The previous prime is 2130001261. The next prime is 2130001301. The reversal of 2130001300 is 31000312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130001301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3730015 + ... + 3730585.

Almost surely, 22130001300 is an apocalyptic number.

2130001300 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 2130001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682567888).

2130001300 is an abundant number, since it is smaller than the sum of its proper divisors (3235134476).

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

2130001300 is a wasteful number, since it uses less digits than its factorization.

2130001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2130001300 is about 46151.9371207753. The cubic root of 2130001300 is about 1286.6486129831.

Adding to 2130001300 its reverse (31000312), we get a palindrome (2161001612).

The spelling of 2130001300 in words is "two billion, one hundred thirty million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 571 700 730 1022 1142 1460 1825 2044 2284 2555 2855 3650 3997 5110 5329 5710 7300 7994 10220 10658 11420 12775 14275 15988 19985 21316 25550 26645 28550 37303 39970 41683 51100 53290 57100 74606 79940 83366 99925 106580 133225 149212 166732 186515 199850 208415 266450 291781 373030 399700 416830 532900 583562 746060 833660 932575 1042075 1167124 1458905 1865150 2084150 2917810 3042859 3730300 4168300 5835620 6085718 7294525 12171436 14589050 15214295 21300013 29178100 30428590 42600026 60857180 76071475 85200052 106500065 152142950 213000130 304285900 426000260 532500325 1065000650 2130001300