Search a number
-
+
300001231312100 = 225271199153212167
BaseRepresentation
bin100010000110110010111101…
…0110100110001010011100100
31110100012211121121212201111222
41010031211322310301103210
5303310210010203441400
62542014355115315512
7120122242115450213
oct10415457264612344
91410184547781458
10300001231312100
118765389807252a
12297922b944bb98
13cb51cc1540566
1454121cc19707a
1524a3ac19d2185
hex110d97ad314e4

300001231312100 has 72 divisors (see below), whose sum is σ = 660178150144128. Its totient is φ = 118309193049600.

The previous prime is 300001231312091. The next prime is 300001231312141. The reversal of 300001231312100 is 1213132100003.

It is a super-2 number, since 2×3000012313121002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413880217 + ... + 1414092383.

It is an arithmetic number, because the mean of its divisors is an integer number (9169140974224).

Almost surely, 2300001231312100 is an apocalyptic number.

It is an amenable number.

300001231312100 is an abundant number, since it is smaller than the sum of its proper divisors (360176918832028).

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

300001231312100 is a wasteful number, since it uses less digits than its factorization.

300001231312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411405 (or 411398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 300001231312100 its reverse (1213132100003), we get a palindrome (301214363412103).

The spelling of 300001231312100 in words is "three hundred trillion, one billion, two hundred thirty-one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 199153 212167 398306 424334 796612 848668 995765 1060835 1991530 2121670 3983060 4243340 4978825 5304175 9957650 10608350 14139863 15063857 19915300 21216700 28279726 30127714 56559452 60255428 70699315 75319285 141398630 150638570 282797260 301277140 353496575 376596425 706993150 753192850 1413986300 1506385700 42253694551 84507389102 169014778204 211268472755 422536945510 845073891020 1056342363775 2112684727550 3000012313121 4225369455100 6000024626242 12000049252484 15000061565605 30000123131210 60000246262420 75000307828025 150000615656050 300001231312100