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234340210132100 = 225289229114979741
BaseRepresentation
bin110101010010000110010100…
…111110110100010010000100
31010201201201001011101220021122
4311102012110332310102010
5221203412222243211400
62150222223434333112
7100234343602310402
oct6522062476642204
91121651034356248
10234340210132100
11687391414236a6
122234885228a198
13a09b257a9ba17
1441c21ab8bc472
151c15ad7675685
hexd52194fb4484

234340210132100 has 72 divisors (see below), whose sum is σ = 516477503089800. Its totient is φ = 92278140134400.

The previous prime is 234340210132043. The next prime is 234340210132129. The reversal of 234340210132100 is 1231012043432.

It can be written as a sum of positive squares in 12 ways, for example, as 15333301682176 + 219006908449924 = 3915776^2 + 14798882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 234340210132100.

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, 55451771 + ... + 59527970.

It is an arithmetic number, because the mean of its divisors is an integer number (7173298654025).

Almost surely, 2234340210132100 is an apocalyptic number.

234340210132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234340210132100 is an abundant number, since it is smaller than the sum of its proper divisors (282137292957700).

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

234340210132100 is a wasteful number, since it uses less digits than its factorization.

234340210132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114980073 (or 114980066 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 234340210132100 its reverse (1231012043432), we get a palindrome (235571222175532).

The spelling of 234340210132100 in words is "two hundred thirty-four trillion, three hundred forty billion, two hundred ten million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 229 356 445 458 890 916 1145 1780 2225 2290 4450 4580 5725 8900 11450 20381 22900 40762 81524 101905 203810 407620 509525 1019050 2038100 114979741 229959482 459918964 574898705 1149797410 2299594820 2874493525 5748987050 10233196949 11497974100 20466393898 26330360689 40932787796 51165984745 52660721378 102331969490 105321442756 131651803445 204663938980 255829923725 263303606890 511659847450 526607213780 658259017225 1023319694900 1316518034450 2343402101321 2633036068900 4686804202642 9373608405284 11717010506605 23434021013210 46868042026420 58585052533025 117170105066050 234340210132100