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313312201002030 = 235295935317291447
BaseRepresentation
bin100011100111101001010111…
…0011100011100110000101110
31112002100100112222201021011210
41013033102232130130300232
5312031301341424031110
63030205345455455250
7122665026263130456
oct10717225634346056
91462310488637153
10313312201002030
1190915a5a48496a
122b182006227526
13105a92a189ba59
14575256a180d66
152634e818cb520
hex11cf4ae71cc2e

313312201002030 has 128 divisors (see below), whose sum is σ = 793303967923200. Its totient is φ = 79076964184064.

The previous prime is 313312201002029. The next prime is 313312201002041. The reversal of 313312201002030 is 30200102213313.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313312201001988 and 313312201002006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9473767 + ... + 26765213.

It is an arithmetic number, because the mean of its divisors is an integer number (6197687249400).

Almost surely, 2313312201002030 is an apocalyptic number.

313312201002030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313312201002030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396651983961600).

313312201002030 is an abundant number, since it is smaller than the sum of its proper divisors (479991766921170).

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

313312201002030 is a wasteful number, since it uses less digits than its factorization.

313312201002030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17291898.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313312201002030 its reverse (30200102213313), we get a palindrome (343512303215343).

The spelling of 313312201002030 in words is "three hundred thirteen trillion, three hundred twelve billion, two hundred one million, two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 118 145 174 177 290 295 353 354 435 590 706 870 885 1059 1711 1765 1770 2118 3422 3530 5133 5295 8555 10237 10266 10590 17110 20474 20827 25665 30711 41654 51185 51330 61422 62481 102370 104135 124962 153555 208270 307110 312405 603983 624810 1207966 1811949 3019915 3623898 6039830 9059745 17291447 18119490 34582894 51874341 86457235 103748682 172914470 259371705 501451963 518743410 1002903926 1020195373 1504355889 2040390746 2507259815 3008711778 3060586119 5014519630 5100976865 6103880791 6121172238 7521779445 10201953730 12207761582 15043558890 15302930595 18311642373 29585665817 30519403955 30605861190 36623284746 59171331634 61038807910 88756997451 91558211865 147928329085 177012542939 177513994902 183116423730 295856658170 354025085878 360128966669 443784987255 531037628817 720257933338 885062714695 887569974510 1062075257634 1080386900007 1770125429390 1800644833345 2160773800014 2655188144085 3601289666690 5310376288170 5401934500035 10443740033401 10803869000070 20887480066802 31331220100203 52218700167005 62662440200406 104437400334010 156656100501015 313312201002030