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231234103134 = 23423417121319
BaseRepresentation
bin1101011101011010100…
…0000110011101011110
3211002212002202112010000
43113112220012131132
512242031412300014
6254121045155130
722464124306116
oct3272650063536
9732762675100
10231234103134
118a07a694181
12389939bbaa6
1318a612891c8
14b2983b6046
1560355c3509
hex35d6a0675e

231234103134 has 160 divisors (see below), whose sum is σ = 561677276160. Its totient is φ = 70912195200.

The previous prime is 231234103129. The next prime is 231234103159. The reversal of 231234103134 is 431301432132.

It is a happy number.

231234103134 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 341 + 0 + 313 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231234103098 and 231234103107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10835727 + ... + 10857045.

It is an arithmetic number, because the mean of its divisors is an integer number (3510482976).

Almost surely, 2231234103134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231234103134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280838638080).

231234103134 is an abundant number, since it is smaller than the sum of its proper divisors (330443173026).

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

231234103134 is a wasteful number, since it uses less digits than its factorization.

231234103134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21468 (or 21459 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 231234103134 its reverse (431301432132), we get a palindrome (662535535266).

The spelling of 231234103134 in words is "two hundred thirty-one billion, two hundred thirty-four million, one hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 71 81 82 123 138 142 162 207 213 246 369 414 426 621 639 738 943 1107 1242 1278 1633 1863 1886 1917 2214 2829 2911 3266 3321 3726 3834 4899 5658 5751 5822 6642 8487 8733 9798 11502 14697 16974 17466 21319 25461 26199 29394 42638 44091 50922 52398 63957 66953 76383 78597 88182 127914 132273 133906 152766 157194 191871 200859 235791 264546 383742 401718 471582 490337 575613 602577 874079 980674 1151226 1205154 1471011 1513649 1726839 1748158 1807731 2622237 2942022 3027298 3453678 3615462 4413033 4540947 5244474 5423193 7866711 8826066 9081894 10846386 13239099 13622841 15733422 20103817 23600133 26478198 27245682 34813927 39717297 40207634 40868523 47200266 60311451 62059609 69627854 70800399 79434594 81737046 104441781 120622902 122605569 124119218 141600798 180934353 186178827 208883562 245211138 313325343 361868706 372357654 542803059 558536481 626650686 939976029 1085606118 1117072962 1427371007 1628409177 1675609443 1879952058 2819928087 2854742014 3256818354 3351218886 4282113021 5026828329 5639856174 8564226042 10053656658 12846339063 25692678126 38539017189 77078034378 115617051567 231234103134