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112440124100 = 22521124401241
BaseRepresentation
bin110100010110111110…
…1000010001011000100
3101202020010221010100202
41220231331002023010
53320234132432400
6123353154030032
711060241166613
oct1505575021304
9352203833322
10112440124100
114375a5784a7
121995bb78318
13a7abbc3a15
1456292c987a
152dd14474d5
hex1a2df422c4

112440124100 has 18 divisors (see below), whose sum is σ = 243995069514. Its totient is φ = 44976049600.

The previous prime is 112440124079. The next prime is 112440124123. The reversal of 112440124100 is 1421044211.

It can be written as a sum of positive squares in 3 ways, for example, as 102535876 + 112337588224 = 10126^2 + 335168^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 562200521 + ... + 562200720.

Almost surely, 2112440124100 is an apocalyptic number.

112440124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112440124100 is an abundant number, since it is smaller than the sum of its proper divisors (131554945414).

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

112440124100 is a wasteful number, since it uses less digits than its factorization.

112440124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124401255 (or 1124401248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112440124100 its reverse (1421044211), we get a palindrome (113861168311).

The spelling of 112440124100 in words is "one hundred twelve billion, four hundred forty million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1124401241 2248802482 4497604964 5622006205 11244012410 22488024820 28110031025 56220062050 112440124100