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52532112100 = 22521323108409
BaseRepresentation
bin110000111011001010…
…000110101011100100
312000121001102210102111
4300323022012223210
51330041210041400
640044413250404
73536536404526
oct607312065344
9160531383374
1052532112100
112030800a386
12a220a93a04
134c52533600
142784b3da16
151576d153ba
hexc3b286ae4

52532112100 has 54 divisors (see below), whose sum is σ = 123438069510. Its totient is φ = 19396465920.

The previous prime is 52532112053. The next prime is 52532112109. The reversal of 52532112100 is 121123525.

It can be written as a sum of positive squares in 9 ways, for example, as 46554966756 + 5977145344 = 215766^2 + 77312^2 .

It is not an unprimeable number, because it can be changed into a prime (52532112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1537305 + ... + 1571104.

Almost surely, 252532112100 is an apocalyptic number.

52532112100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52532112100 is an abundant number, since it is smaller than the sum of its proper divisors (70905957410).

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

52532112100 is a wasteful number, since it uses less digits than its factorization.

52532112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108449 (or 3108429 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 52532112100 its reverse (121123525), we get a palindrome (52653235625).

The spelling of 52532112100 in words is "fifty-two billion, five hundred thirty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 3108409 6216818 12433636 15542045 31084090 40409317 62168180 77710225 80818634 155420450 161637268 202046585 310840900 404093170 525321121 808186340 1010232925 1050642242 2020465850 2101284484 2626605605 4040931700 5253211210 10506422420 13133028025 26266056050 52532112100