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42205213530 = 2325736423929
BaseRepresentation
bin100111010011101000…
…000111001101011010
311000221100112222202200
4213103220013031122
51142414013313110
631215552111030
73022612252524
oct472350071532
9130840488680
1042205213530
1116998819667
12821a535476
133c97bbac3c
142085404a14
1511703d36c0
hex9d3a0735a

42205213530 has 48 divisors (see below), whose sum is σ = 111236771880. Its totient is φ = 11100547584.

The previous prime is 42205213529. The next prime is 42205213537. The reversal of 42205213530 is 3531250224.

It is a happy number.

42205213530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39724874721 + 2480338809 = 199311^2 + 49803^2 .

It is a super-2 number, since 2×422052135302 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42205213494 and 42205213503.

It is not an unprimeable number, because it can be changed into a prime (42205213537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3205395 + ... + 3218534.

Almost surely, 242205213530 is an apocalyptic number.

42205213530 is an abundant number, since it is smaller than the sum of its proper divisors (69031558350).

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

42205213530 is a wasteful number, since it uses less digits than its factorization.

42205213530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424015 (or 6424012 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 42205213530 its reverse (3531250224), we get a palindrome (45736463754).

The spelling of 42205213530 in words is "forty-two billion, two hundred five million, two hundred thirteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 6423929 12847858 19271787 32119645 38543574 57815361 64239290 96358935 115630722 192717870 289076805 468946817 578153610 937893634 1406840451 2344734085 2813680902 4220521353 4689468170 7034202255 8441042706 14068404510 21102606765 42205213530