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30311021310 = 23573157199443
BaseRepresentation
bin11100001110101011…
…010111101011111110
32220020102112102101220
4130032223113223332
5444034110140220
621531422214210
72122064300343
oct341653275376
986212472356
1030311021310
1111944865a39
125a5b124366
132b2095158b
14167788a7ca
15bc60b3540
hex70ead7afe

30311021310 has 128 divisors (see below), whose sum is σ = 74753971200. Its totient is φ = 7863837696.

The previous prime is 30311021203. The next prime is 30311021317. The reversal of 30311021310 is 1312011303.

It is a super-2 number, since 2×303110213102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30311021310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311021317) by changing a digit.

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, 68421949 + ... + 68422391.

It is an arithmetic number, because the mean of its divisors is an integer number (584015400).

Almost surely, 230311021310 is an apocalyptic number.

30311021310 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 30311021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37376985600).

30311021310 is an abundant number, since it is smaller than the sum of its proper divisors (44442949890).

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

30311021310 is a wasteful number, since it uses less digits than its factorization.

30311021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30311021310 its reverse (1312011303), we get a palindrome (31623032613).

The spelling of 30311021310 in words is "thirty billion, three hundred eleven million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 157 199 219 314 365 398 438 443 471 597 730 785 886 942 995 1095 1194 1329 1570 1990 2190 2215 2355 2658 2985 4430 4710 5970 6645 11461 13290 14527 22922 29054 31243 32339 34383 43581 57305 62486 64678 68766 69551 72635 87162 88157 93729 97017 114610 139102 145270 156215 161695 171915 176314 187458 194034 208653 217905 264471 312430 323390 343830 347755 417306 435810 440785 468645 485085 528942 695510 881570 937290 970170 1043265 1322355 2086530 2280739 2644710 4561478 5077223 6435461 6842217 10154446 11403695 12870922 13684434 13840649 15231669 19306383 22807390 25386115 27681298 30463338 32177305 34211085 38612766 41521947 50772230 64354610 68422170 69203245 76158345 83043894 96531915 138406490 152316690 193063830 207609735 415219470 1010367377 2020734754 3031102131 5051836885 6062204262 10103673770 15155510655 30311021310