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43131013134 = 231121015211129
BaseRepresentation
bin101000001010110011…
…110000100000001110
311010022212121111001220
4220022303300200032
51201313014410014
631451503144210
73054553363656
oct501263604016
9133285544056
1043131013134
1117323372600
1284385a5066
1340b4948761
142132359366
1511c68096a9
hexa0acf080e

43131013134 has 96 divisors (see below), whose sum is σ = 96024489120. Its totient is φ = 12904320000.

The previous prime is 43131013091. The next prime is 43131013147.

43131013134 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38202282 + ... + 38203410.

It is an arithmetic number, because the mean of its divisors is an integer number (1000255095).

Almost surely, 243131013134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43131013134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48012244560).

43131013134 is an abundant number, since it is smaller than the sum of its proper divisors (52893475986).

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

43131013134 is a wasteful number, since it uses less digits than its factorization.

43131013134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 431310 and 13134, that added together give a palindrome (444444).

The spelling of 43131013134 in words is "forty-three billion, one hundred thirty-one million, thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 521 606 726 1042 1111 1129 1563 2222 2258 3126 3333 3387 5731 6666 6774 11462 12221 12419 17193 24442 24838 34386 36663 37257 52621 63041 73326 74514 105242 114029 126082 136609 157863 189123 228058 273218 315726 342087 378246 409827 578831 588209 684174 819654 1157662 1176418 1254319 1736493 1764627 2508638 3472986 3529254 3762957 6367141 6470299 7525914 12734282 12940598 13797509 19101423 19410897 27595018 38202846 38821794 41392527 59409109 71173289 82785054 118818218 142346578 178227327 213519867 356454654 427039734 653500199 1307000398 1960500597 3921001194 7188502189 14377004378 21565506567 43131013134