Search a number
-
+
2130422100 = 2235243239691
BaseRepresentation
bin111111011111011…
…1010100101010100
312111110202122201020
41332332322211110
513330342001400
6551222201140
7103536201102
oct17676724524
95443678636
102130422100
119a3627724
124b55831b0
1327c4accc1
14162d28c72
15c70762a0
hex7efba954

2130422100 has 144 divisors (see below), whose sum is σ = 6342927360. Its totient is φ = 551779200.

The previous prime is 2130422089. The next prime is 2130422111. The reversal of 2130422100 is 12240312.

It is an interprime number because it is at equal distance from previous prime (2130422089) and next prime (2130422111).

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 2130422100.

It is a congruent 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, 3082755 + ... + 3083445.

Almost surely, 22130422100 is an apocalyptic number.

2130422100 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 2130422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171463680).

2130422100 is an abundant number, since it is smaller than the sum of its proper divisors (4212505260).

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

2130422100 is a wasteful number, since it uses less digits than its factorization.

2130422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2130422100 is about 46156.4957508691. The cubic root of 2130422100 is about 1286.7333368886.

Adding to 2130422100 its reverse (12240312), we get a palindrome (2142662412).

The spelling of 2130422100 in words is "two billion, one hundred thirty million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 239 258 300 430 478 516 645 691 717 860 956 1075 1195 1290 1382 1434 2073 2150 2390 2580 2764 2868 3225 3455 3585 4146 4300 4780 5975 6450 6910 7170 8292 10277 10365 11950 12900 13820 14340 17275 17925 20554 20730 23900 29713 30831 34550 35850 41108 41460 51385 51825 59426 61662 69100 71700 89139 102770 103650 118852 123324 148565 154155 165149 178278 205540 207300 256925 297130 308310 330298 356556 445695 495447 513850 594260 616620 660596 742825 770775 825745 891390 990894 1027700 1485650 1541550 1651490 1782780 1981788 2228475 2477235 2971300 3083100 3302980 4128725 4456950 4954470 7101407 8257450 8913900 9908940 12386175 14202814 16514900 21304221 24772350 28405628 35507035 42608442 49544700 71014070 85216884 106521105 142028140 177535175 213042210 355070350 426084420 532605525 710140700 1065211050 2130422100