Search a number
-
+
2751130352300 = 2252114172378429
BaseRepresentation
bin101000000010001100001…
…001011011101010101100
3100202000011000010021011212
4220002030021123222230
5330033303332233200
65503503555133552
7402522401104061
oct50021411335254
910660130107155
102751130352300
119708253a8990
1238522bba42b8
1316c5799bb135
1497226684c68
154b86aca9035
hex2808c25baac

2751130352300 has 144 divisors (see below), whose sum is σ = 6673235073120. Its totient is φ = 975760128000.

The previous prime is 2751130352261. The next prime is 2751130352351. The reversal of 2751130352300 is 32530311572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326384486 + ... + 326392914.

It is an arithmetic number, because the mean of its divisors is an integer number (46341910230).

Almost surely, 22751130352300 is an apocalyptic number.

2751130352300 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 2751130352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336617536560).

2751130352300 is an abundant number, since it is smaller than the sum of its proper divisors (3922104720820).

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

2751130352300 is a wasteful number, since it uses less digits than its factorization.

2751130352300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15732 (or 15725 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 2751130352300 its reverse (32530311572), we get a palindrome (2783660663872).

The spelling of 2751130352300 in words is "two trillion, seven hundred fifty-one billion, one hundred thirty million, three hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 7237 8429 9020 11275 14474 16858 22550 28948 33716 36185 42145 45100 72370 79607 84290 92719 144740 159214 168580 180925 185438 210725 296717 318428 345589 361850 370876 398035 421450 463595 593434 691178 723700 796070 842900 927190 1186868 1382356 1483585 1592140 1727945 1854380 1990175 2317975 2967170 3263887 3455890 3801479 3980350 4635950 5934340 6527774 6911780 7417925 7602958 7960700 8639725 9271900 13055548 14835850 15205916 16319435 17279450 19007395 29671700 32638870 34558900 38014790 61000673 65277740 76029580 81597175 95036975 122001346 163194350 190073950 244002692 305003365 326388700 380147900 610006730 671007403 1220013460 1342014806 1525016825 2501027593 2684029612 3050033650 3355037015 5002055186 6100067300 6710074030 10004110372 12505137965 13420148060 16775185075 25010275930 27511303523 33550370150 50020551860 55022607046 62525689825 67100740300 110045214092 125051379650 137556517615 250102759300 275113035230 550226070460 687782588075 1375565176150 2751130352300