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43112421135 = 325743274021
BaseRepresentation
bin101000001001101100…
…110101011100001111
311010021120121220122100
4220021230311130033
51201243234434020
631450000450143
73054236350620
oct501154653417
9133246556570
1043112421135
1117313924113
128432319953
1340b0b39184
14212dab9a47
1511c4d85a90
hexa09b3570f

43112421135 has 72 divisors (see below), whose sum is σ = 87437155104. Its totient is φ = 19249937280.

The previous prime is 43112421133. The next prime is 43112421151. The reversal of 43112421135 is 53112421134.

43112421135 is a `hidden beast` number, since 431 + 12 + 4 + 211 + 3 + 5 = 666.

43112421135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 43112421135 - 21 = 43112421133 is a prime.

It is a super-2 number, since 2×431124211352 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43112421099 and 43112421108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43112421133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 545425 + ... + 619445.

It is an arithmetic number, because the mean of its divisors is an integer number (1214404932).

Almost surely, 243112421135 is an apocalyptic number.

43112421135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

43112421135 is an abundant number, since it is smaller than the sum of its proper divisors (44324733969).

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

43112421135 is a wasteful number, since it uses less digits than its factorization.

43112421135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74125 (or 74079 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 43112421135 its reverse (53112421134), we get a palindrome (96224842269).

Subtracting 43112421135 from its reverse (53112421134), we obtain a palindrome (9999999999).

The spelling of 43112421135 in words is "forty-three billion, one hundred twelve million, four hundred twenty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1849 1935 2709 4515 5547 9245 12943 13545 16641 27735 38829 64715 74021 83205 116487 194145 222063 370105 518147 582435 666189 1110315 1554441 2590735 3182903 3330945 4663323 7772205 9548709 15914515 22280321 23316615 28646127 47743545 66840963 111401605 136864829 143230635 200522889 334204815 410594487 684324145 958053803 1002614445 1231783461 2052972435 2874161409 4790269015 6158917305 8622484227 14370807045 43112421135