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231311011223100 = 223521318277117021
BaseRepresentation
bin110100100110000001001010…
…101010000001011000111100
31010100000010011002020100201110
4310212001022222001120330
5220304244422333114400
62135542451145042020
766502445330363604
oct6446011252013074
91110003132210643
10231311011223100
11677804a362a476
1221b39759786310
139c0b6c4b4c393
144119726b0bc04
151bb1de47e7e50
hexd2604aa8163c

231311011223100 has 144 divisors (see below), whose sum is σ = 675184247692416. Its totient is φ = 61138048608000.

The previous prime is 231311011223081. The next prime is 231311011223111. The reversal of 231311011223100 is 1322110113132.

It is a super-2 number, since 2×2313110112231002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28942590 + ... + 36059610.

It is an arithmetic number, because the mean of its divisors is an integer number (4688779497864).

Almost surely, 2231311011223100 is an apocalyptic number.

231311011223100 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 231311011223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337592123846208).

231311011223100 is an abundant number, since it is smaller than the sum of its proper divisors (443873236469316).

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

231311011223100 is a wasteful number, since it uses less digits than its factorization.

231311011223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117996 (or 7117989 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 231311011223100 its reverse (1322110113132), we get a palindrome (232633121336232).

The spelling of 231311011223100 in words is "two hundred thirty-one trillion, three hundred eleven billion, eleven million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 827 1310 1572 1654 1965 2481 2620 3275 3308 3930 4135 4962 6550 7860 8270 9825 9924 12405 13100 16540 19650 20675 24810 39300 41350 49620 62025 82700 108337 124050 216674 248100 325011 433348 541685 650022 1083370 1300044 1625055 2166740 2708425 3250110 5416850 6500220 7117021 8125275 10833700 14234042 16250550 21351063 28468084 32501100 35585105 42702126 71170210 85404252 106755315 142340420 177925525 213510630 355851050 427021260 533776575 711702100 932329751 1067553150 1864659502 2135106300 2796989253 3729319004 4661648755 5593978506 5885776367 9323297510 11187957012 11771552734 13984946265 17657329101 18646595020 23308243775 23543105468 27969892530 29428881835 35314658202 46616487550 55939785060 58857763670 69924731325 70629316404 88286645505 93232975100 117715527340 139849462650 147144409175 176573291010 279698925300 294288818350 353146582020 441433227525 588577636700 771036704077 882866455050 1542073408154 1765732910100 2313110112231 3084146816308 3855183520385 4626220224462 7710367040770 9252440448924 11565550561155 15420734081540 19275917601925 23131101122310 38551835203850 46262202244620 57827752805775 77103670407700 115655505611550 231311011223100