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311012200230 = 235192337193257
BaseRepresentation
bin1001000011010011100…
…01011000111100100110
31002201202222022202112220
410201221301120330212
520043423110401410
6354513234453210
731320113040354
oct4415161307446
91081688282486
10311012200230
1110a999308326
1250339434206
1323436438414
14110a58aa7d4
15815435d070
hex4869c58f26

311012200230 has 128 divisors (see below), whose sum is σ = 790427289600. Its totient is φ = 78101489664.

The previous prime is 311012200141. The next prime is 311012200231. The reversal of 311012200230 is 32002210113.

It is a super-2 number, since 2×3110122002302 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311012200231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95488762 + ... + 95492018.

It is an arithmetic number, because the mean of its divisors is an integer number (6175213200).

Almost surely, 2311012200230 is an apocalyptic number.

311012200230 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 311012200230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395213644800).

311012200230 is an abundant number, since it is smaller than the sum of its proper divisors (479415089370).

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

311012200230 is a wasteful number, since it uses less digits than its factorization.

311012200230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 311012200230 its reverse (32002210113), we get a palindrome (343014410343).

The spelling of 311012200230 in words is "three hundred eleven billion, twelve million, two hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 233 285 466 570 699 719 1165 1398 1438 2157 2330 3257 3495 3595 4314 4427 6514 6990 7190 8854 9771 10785 13281 13661 16285 19542 21570 22135 26562 27322 32570 40983 44270 48855 61883 66405 68305 81966 97710 123766 132810 136610 167527 185649 204915 309415 335054 371298 409830 502581 618830 758881 837635 928245 1005162 1517762 1675270 1856490 2276643 2341783 2512905 3183013 3794405 4553286 4683566 5025810 6366026 7025349 7588810 9549039 11383215 11708915 14050698 14418739 15915065 19098078 22766430 23417830 28837478 31830130 35126745 43256217 44493877 47745195 70253490 72093695 86512434 88987754 95490390 133481631 144187390 216281085 222469385 266963262 432562170 444938770 545635439 667408155 1091270878 1334816310 1636906317 2728177195 3273812634 5456354390 8184531585 10367073341 16369063170 20734146682 31101220023 51835366705 62202440046 103670733410 155506100115 311012200230