Search a number
-
+
312424302321100 = 225247113588258901
BaseRepresentation
bin100011100001001011111001…
…1100011110001110111001100
31111222012110201210200212221001
41013002113303203301313030
5311422224432343233400
63024245424301350044
7122543624313641524
oct10702276343616714
91458173653625831
10312424302321100
1190603447859212
122b059b0a868324
1310543640260498
1457215ba02c684
15261bd16985a6a
hex11c25f38f1dcc

312424302321100 has 72 divisors (see below), whose sum is σ = 698512738448448. Its totient is φ = 121228394112000.

The previous prime is 312424302321041. The next prime is 312424302321139. The reversal of 312424302321100 is 1123203424213.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293598351 + ... + 294660550.

It is an arithmetic number, because the mean of its divisors is an integer number (9701565811784).

Almost surely, 2312424302321100 is an apocalyptic number.

It is an amenable number.

312424302321100 is an abundant number, since it is smaller than the sum of its proper divisors (386088436127348).

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

312424302321100 is a wasteful number, since it uses less digits than its factorization.

312424302321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588259075 (or 588259068 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312424302321100 its reverse (1123203424213), we get a palindrome (313547505745313).

The spelling of 312424302321100 in words is "three hundred twelve trillion, four hundred twenty-four billion, three hundred two million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 113 188 226 235 452 470 565 940 1130 1175 2260 2350 2825 4700 5311 5650 10622 11300 21244 26555 53110 106220 132775 265550 531100 588258901 1176517802 2353035604 2941294505 5882589010 11765178020 14706472525 27648168347 29412945050 55296336694 58825890100 66473255813 110592673388 132946511626 138240841735 265893023252 276481683470 332366279065 552963366940 664732558130 691204208675 1329465116260 1382408417350 1661831395325 2764816834700 3124243023211 3323662790650 6248486046422 6647325581300 12496972092844 15621215116055 31242430232110 62484860464220 78106075580275 156212151160550 312424302321100