Search a number
-
+
231310310310 = 233514944312979
BaseRepresentation
bin1101011101101100101…
…0110011101110100110
3211010001102011020201000
43113123022303232212
512242210414412220
6254132410414130
722466041124352
oct3273312635646
9733042136630
10231310310310
118a109704812
12389b5431346
1318a73cbc101
14b2a4572462
15603c128390
hex35db2b3ba6

231310310310 has 128 divisors (see below), whose sum is σ = 622416960000. Its totient is φ = 61125757056.

The previous prime is 231310310293. The next prime is 231310310311. The reversal of 231310310310 is 13013013132.

It is a happy number.

231310310310 is a `hidden beast` number, since 2 + 31 + 3 + 10 + 310 + 310 = 666.

It is a super-2 number, since 2×2313103103102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231310310311) 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, 17815401 + ... + 17828379.

It is an arithmetic number, because the mean of its divisors is an integer number (4862632500).

Almost surely, 2231310310310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231310310310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311208480000).

231310310310 is an abundant number, since it is smaller than the sum of its proper divisors (391106649690).

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

231310310310 is a wasteful number, since it uses less digits than its factorization.

231310310310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13581 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 231310310310 its reverse (13013013132), we get a palindrome (244323323442).

The spelling of 231310310310 in words is "two hundred thirty-one billion, three hundred ten million, three hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 443 447 745 886 894 1329 1341 1490 2215 2235 2658 2682 3987 4023 4430 4470 6645 6705 7974 8046 11961 12979 13290 13410 19935 20115 23922 25958 38937 39870 40230 59805 64895 66007 77874 116811 119610 129790 132014 194685 198021 233622 330035 350433 389370 396042 584055 594063 660070 700866 990105 1168110 1188126 1752165 1782189 1933871 1980210 2970315 3504330 3564378 3867742 5749697 5801613 5940630 8910945 9669355 11499394 11603226 17249091 17404839 17821890 19338710 28748485 29008065 34498182 34809678 51747273 52214517 57496970 58016130 86245455 87024195 103494546 104429034 155241819 172490910 174048390 258736365 261072585 310483638 517472730 522145170 776209095 856704853 1552418190 1713409706 2570114559 4283524265 5140229118 7710343677 8567048530 12850572795 15420687354 23131031031 25701145590 38551718385 46262062062 77103436770 115655155155 231310310310