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242124004100 = 225211220112731
BaseRepresentation
bin1110000101111110110…
…1110001101100000100
3212010222001000210212102
43201133231301230010
512431332221112400
6303121421411232
723331026035406
oct3413755615404
9763861023772
10242124004100
1193758762a30
123ab12a09b18
1319aa84453a4
14ba0c7c6b76
1564716659d5
hex385fb71b04

242124004100 has 36 divisors (see below), whose sum is σ = 573173554128. Its totient is φ = 88045092000.

The previous prime is 242124004091. The next prime is 242124004117. The reversal of 242124004100 is 1400421242.

It is a super-2 number, since 2×2421240041002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110055266 + ... + 110057465.

Almost surely, 2242124004100 is an apocalyptic number.

242124004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242124004100 is an abundant number, since it is smaller than the sum of its proper divisors (331049550028).

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

242124004100 is a wasteful number, since it uses less digits than its factorization.

242124004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220112756 (or 220112749 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 242124004100 its reverse (1400421242), we get a palindrome (243524425342).

The spelling of 242124004100 in words is "two hundred forty-two billion, one hundred twenty-four million, four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 220112731 440225462 880450924 1100563655 2201127310 2421240041 4402254620 4842480082 5502818275 9684960164 11005636550 12106200205 22011273100 24212400410 48424800820 60531001025 121062002050 242124004100