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24100142120 = 235602503553
BaseRepresentation
bin10110011100011110…
…101111110000101000
32022012120200001212022
4112130132233300220
5343324114021440
615023233404012
71512136554005
oct263436576050
968176601768
1024100142120
11a2479a152a
124807109608
132370c8c732
141248a668ac
15960bc2cb5
hex59c7afc28

24100142120 has 16 divisors (see below), whose sum is σ = 54225319860. Its totient is φ = 9640056832.

The previous prime is 24100142083. The next prime is 24100142137. The reversal of 24100142120 is 2124100142.

It can be written as a sum of positive squares in 2 ways, for example, as 23751124996 + 349017124 = 154114^2 + 18682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301251737 + ... + 301251816.

Almost surely, 224100142120 is an apocalyptic number.

24100142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24100142120 is an abundant number, since it is smaller than the sum of its proper divisors (30125177740).

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

24100142120 is a wasteful number, since it uses less digits than its factorization.

24100142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602503564 (or 602503560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 24100142120 its reverse (2124100142), we get a palindrome (26224242262).

The spelling of 24100142120 in words is "twenty-four billion, one hundred million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 602503553 1205007106 2410014212 3012517765 4820028424 6025035530 12050071060 24100142120