Search a number
-
+
203123012022300 = 2235217122033263791
BaseRepresentation
bin101110001011110101000010…
…111110100011000000011100
3222122012100222221201112100110
4232023311002332203000130
5203110431412034203200
62000001231251330020
760533103410441256
oct5613650276430034
9878170887645313
10203123012022300
11597a2a92976077
121a9467258b0910
138945558009856
1438232c5cb8cd6
151873a67e04b50
hexb8bd42fa301c

203123012022300 has 144 divisors (see below), whose sum is σ = 622324505682432. Its totient is φ = 50975699942400.

The previous prime is 203123012022289. The next prime is 203123012022331. The reversal of 203123012022300 is 3220210321302.

It is a happy number.

It is a super-2 number, since 2×2031230120223002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 60603405 + ... + 63867195.

It is an arithmetic number, because the mean of its divisors is an integer number (4321697956128).

Almost surely, 2203123012022300 is an apocalyptic number.

203123012022300 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 203123012022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311162252841216).

203123012022300 is an abundant number, since it is smaller than the sum of its proper divisors (419201493660132).

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

203123012022300 is a wasteful number, since it uses less digits than its factorization.

203123012022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276028 (or 3276021 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 203123012022300 its reverse (3220210321302), we get a palindrome (206343222343602).

The spelling of 203123012022300 in words is "two hundred three trillion, one hundred twenty-three billion, twelve million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 12203 24406 36609 48812 61015 73218 122030 146436 183045 207451 244060 305075 366090 414902 610150 622353 732180 829804 915225 1037255 1220300 1244706 1830450 2074510 2489412 3111765 3263791 3660900 4149020 5186275 6223530 6527582 9791373 10372550 12447060 13055164 15558825 16318955 19582746 20745100 31117650 32637910 39165492 48956865 55484447 62235300 65275820 81594775 97913730 110968894 163189550 166453341 195827460 221937788 244784325 277422235 326379100 332906682 489568650 554844470 665813364 832266705 979137300 1109688940 1387111175 1664533410 2774222350 3329066820 4161333525 5548444700 8322667050 16645334100 39828041573 79656083146 119484124719 159312166292 199140207865 238968249438 398280415730 477936498876 597420623595 677076706741 796560831460 995701039325 1194841247190 1354153413482 1991402078650 2031230120223 2389682494380 2708306826964 2987103117975 3385383533705 3982804157300 4062460240446 5974206235950 6770767067410 8124920480892 10156150601115 11948412471900 13541534134820 16926917668525 20312301202230 33853835337050 40624602404460 50780753005575 67707670674100 101561506011150 203123012022300