Search a number
-
+
43022533502106 = 2327157158956137
BaseRepresentation
bin10011100100000111101101…
…10100111010010010011010
312122022220200022221210112200
421302003312310322102122
521114340122034031411
6231300140134551030
712030163325646204
oct1162036664722232
9178286608853480
1043022533502106
1112787832626464
1249aa07b508476
131b01013631762
14a8a431d49774
154e91ac823e56
hex2720f6d3a49a

43022533502106 has 48 divisors (see below), whose sum is σ = 94693933908288. Its totient is φ = 14114098958400.

The previous prime is 43022533502071. The next prime is 43022533502107. The reversal of 43022533502106 is 60120533522034.

43022533502106 is a `hidden beast` number, since 4 + 30 + 2 + 253 + 350 + 21 + 0 + 6 = 666.

43022533502106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×430225335021062 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43022533502107) 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 23 ways as a sum of consecutive naturals, for example, 28748331 + ... + 30207806.

It is an arithmetic number, because the mean of its divisors is an integer number (1972790289756).

Almost surely, 243022533502106 is an apocalyptic number.

43022533502106 is an abundant number, since it is smaller than the sum of its proper divisors (51671400406182).

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

43022533502106 is a wasteful number, since it uses less digits than its factorization.

43022533502106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58956787 (or 58956784 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 43022533502106 in words is "forty-three trillion, twenty-two billion, five hundred thirty-three million, five hundred two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 71 142 213 426 571 639 1142 1278 1713 3426 5139 10278 40541 81082 121623 243246 364869 729738 58956137 117912274 176868411 353736822 530605233 1061210466 4185885727 8371771454 12557657181 25115314362 33663954227 37672971543 67327908454 75345943086 100991862681 201983725362 302975588043 605951176086 2390140750117 4780281500234 7170422250351 14340844500702 21511266751053 43022533502106