Search a number
-
+
2203030331130 = 235618316786851
BaseRepresentation
bin100000000011101110110…
…101110001111011111010
321210121101222020022021210
4200003232311301323322
5242043301231044010
64404020321343550
7315110100562506
oct40035665617372
97717358208253
102203030331130
1177a333209682
122b6b66497bb6
1312c98b627695
14788ad1d1306
153c48c4d7b20
hex200eed71efa

2203030331130 has 128 divisors (see below), whose sum is σ = 5471325812736. Its totient is φ = 567457056000.

The previous prime is 2203030331111. The next prime is 2203030331149. The reversal of 2203030331130 is 311330303022.

It is an interprime number because it is at equal distance from previous prime (2203030331111) and next prime (2203030331149).

It is a junction number, because it is equal to n+sod(n) for n = 2203030331097 and 2203030331106.

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 63 ways as a sum of consecutive naturals, for example, 25322205 + ... + 25409055.

It is an arithmetic number, because the mean of its divisors is an integer number (42744732912).

Almost surely, 22203030331130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203030331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735662906368).

2203030331130 is an abundant number, since it is smaller than the sum of its proper divisors (3268295481606).

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

2203030331130 is a wasteful number, since it uses less digits than its factorization.

2203030331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87172.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2203030331130 its reverse (311330303022), we get a palindrome (2514360634152).

The spelling of 2203030331130 in words is "two trillion, two hundred three billion, thirty million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 83 122 166 167 183 249 305 334 366 415 498 501 610 830 835 915 1002 1245 1670 1830 2490 2505 5010 5063 10126 10187 13861 15189 20374 25315 27722 30378 30561 41583 50630 50935 61122 69305 75945 83166 86851 101870 138610 151890 152805 173702 207915 260553 305610 415830 434255 521106 845521 868510 1302765 1691042 2536563 2605530 4227605 5073126 5297911 7208633 8455210 10595822 12682815 14417266 14504117 15893733 21625899 25365630 26489555 29008234 31787466 36043165 43251798 43512351 52979110 72086330 72520585 79468665 87024702 108129495 145041170 158937330 216258990 217561755 435123510 439726613 879453226 884751137 1203841711 1319179839 1769502274 2198633065 2407683422 2638359678 2654253411 3611525133 4397266130 4423755685 5308506822 6019208555 6595899195 7223050266 8847511370 12038417110 13191798390 13271267055 18057625665 26542534110 36115251330 73434344371 146868688742 220303033113 367171721855 440606066226 734343443710 1101515165565 2203030331130