Search a number
-
+
123030605000 = 235419268161
BaseRepresentation
bin111001010010100110…
…0100000110011001000
3102202120012210022000002
41302211030200303020
54003431313330000
6132304112502132
711613545613332
oct1624514406310
9382505708002
10123030605000
11481a4629556
121ba1684a948
13b7a9026074
145d51a38452
1533010928d5
hex1ca5320cc8

123030605000 has 120 divisors (see below), whose sum is σ = 304235293230. Its totient is φ = 46621440000.

The previous prime is 123030604909. The next prime is 123030605059. The reversal of 123030605000 is 506030321.

It can be written as a sum of positive squares in 5 ways, for example, as 9753932644 + 113276672356 = 98762^2 + 336566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1770920 + ... + 1839080.

Almost surely, 2123030605000 is an apocalyptic number.

123030605000 is a gapful number since it is divisible by the number (10) 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 123030605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152117646615).

123030605000 is an abundant number, since it is smaller than the sum of its proper divisors (181204688230).

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

123030605000 is an equidigital number, since it uses as much as digits as its factorization.

123030605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68225 (or 68187 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 123030605000 its reverse (506030321), we get a palindrome (123536635321).

The spelling of 123030605000 in words is "one hundred twenty-three billion, thirty million, six hundred five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 625 722 760 950 1000 1250 1444 1805 1900 2375 2500 2888 3610 3800 4750 5000 7220 9025 9500 11875 14440 18050 19000 23750 36100 45125 47500 68161 72200 90250 95000 136322 180500 225625 272644 340805 361000 451250 545288 681610 902500 1295059 1363220 1704025 1805000 2590118 2726440 3408050 5180236 6475295 6816100 8520125 10360472 12950590 13632200 17040250 24606121 25901180 32376475 34080500 42600625 49212242 51802360 64752950 68161000 85201250 98424484 123030605 129505900 161882375 170402500 196848968 246061210 259011800 323764750 340805000 492122420 615153025 647529500 809411875 984244840 1230306050 1295059000 1618823750 2460612100 3075765125 3237647500 4921224200 6151530250 6475295000 12303060500 15378825625 24606121000 30757651250 61515302500 123030605000