Search a number
-
+
2131131312300 = 2235259971241267
BaseRepresentation
bin11111000000110001010…
…100110010100010101100
321112201211012112201022110
4133000301110302202230
5234404024103443200
64311010032044020
7306653264161014
oct37006124624254
97481735481273
102131131312300
11751898081661
122a503b693610
13125c70930c63
147520c2c8c44
153a68030eb50
hex1f0315328ac

2131131312300 has 144 divisors (see below), whose sum is σ = 6335233269120. Its totient is φ = 552909527040.

The previous prime is 2131131312263. The next prime is 2131131312379. The reversal of 2131131312300 is 32131311312.

It is a happy 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, 1096267 + ... + 2337533.

It is an arithmetic number, because the mean of its divisors is an integer number (43994675480).

Almost surely, 22131131312300 is an apocalyptic number.

2131131312300 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 2131131312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167616634560).

2131131312300 is an abundant number, since it is smaller than the sum of its proper divisors (4204101956820).

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

2131131312300 is a wasteful number, since it uses less digits than its factorization.

2131131312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241440 (or 1241433 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2131131312300 its reverse (32131311312), we get a palindrome (2163262623612).

The spelling of 2131131312300 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 97 100 118 150 177 194 236 291 295 300 354 388 485 582 590 708 885 970 1164 1180 1455 1475 1770 1940 2425 2910 2950 3540 4425 4850 5723 5820 5900 7275 8850 9700 11446 14550 17169 17700 22892 28615 29100 34338 57230 68676 85845 114460 143075 171690 286150 343380 429225 572300 858450 1241267 1716900 2482534 3723801 4965068 6206335 7447602 12412670 14895204 18619005 24825340 31031675 37238010 62063350 73234753 74476020 93095025 120402899 124126700 146469506 186190050 219704259 240805798 292939012 361208697 366173765 372380100 439408518 481611596 602014495 722417394 732347530 878817036 1098521295 1204028990 1444834788 1464695060 1806043485 1830868825 2197042590 2408057980 3010072475 3612086970 3661737650 4394085180 5492606475 6020144950 7103771041 7224173940 7323475300 9030217425 10985212950 12040289900 14207542082 18060434850 21311313123 21970425900 28415084164 35518855205 36120869700 42622626246 71037710410 85245252492 106556565615 142075420820 177594276025 213113131230 355188552050 426226262460 532782828075 710377104100 1065565656150 2131131312300