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43131122113134 = 231121910709291979
BaseRepresentation
bin10011100111010001111110…
…01101100101101001101110
312122201021222001120210020010
421303220333031211221232
521123130014230110014
6231422055225434050
712041056261631046
oct1163507715455156
9178637861523203
1043131122113134
1112819896009100
124a0712563b926
131b0b32a5c3053
14a917b38d4726
154ebe15a77359
hex273a3f365a6e

43131122113134 has 96 divisors (see below), whose sum is σ = 99817217136000. Its totient is φ = 12380941679040.

The previous prime is 43131122113127. The next prime is 43131122113139.

It is a happy number.

43131122113134 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43131122113139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147573957 + ... + 147865935.

It is an arithmetic number, because the mean of its divisors is an integer number (1039762678500).

Almost surely, 243131122113134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43131122113134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49908608568000).

43131122113134 is an abundant number, since it is smaller than the sum of its proper divisors (56686095022866).

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

43131122113134 is a wasteful number, since it uses less digits than its factorization.

43131122113134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302734 (or 302723 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 4313112 and 2113134, that added together give a palindrome (6426246).

The spelling of 43131122113134 in words is "forty-three trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 6897 10709 13794 21418 32127 64254 117799 203471 235598 291979 353397 406942 583958 610413 706794 875937 1220826 1295789 1751874 2238181 2591578 3211769 3887367 4476362 5547601 6423538 6714543 7774734 9635307 11095202 13429086 16642803 19270614 24619991 33285606 35329459 49239982 61023611 70658918 73859973 105988377 122047222 147719946 183070833 211976754 366141666 671259721 1342519442 2013779163 3126803111 4027558326 6253606222 9380409333 18760818666 34394834221 59409259109 68789668442 103184502663 118818518218 178227777327 206369005326 356455554654 378343176431 653501850199 756686352862 1135029529293 1307003700398 1960505550597 2270059058586 3921011101194 7188520352189 14377040704378 21565561056567 43131122113134