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112125105252 = 22333832710693
BaseRepresentation
bin110100001101100101…
…1010101010001100100
3101201102012011111202000
41220123023111101210
53314113011332002
6123302022045300
711046364445406
oct1503313252144
9351365144660
10112125105252
1143608776146
1219892579830
13a75b867b34
1455d9526b76
152db396d61c
hex1a1b2d5464

112125105252 has 48 divisors (see below), whose sum is σ = 291453818880. Its totient is φ = 37277436384.

The previous prime is 112125105247. The next prime is 112125105353. The reversal of 112125105252 is 252501521211.

112125105252 is a `hidden beast` number, since 1 + 1 + 2 + 125 + 10 + 525 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 1313983 + ... + 1396710.

It is an arithmetic number, because the mean of its divisors is an integer number (6071954560).

Almost surely, 2112125105252 is an apocalyptic number.

112125105252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112125105252 is an abundant number, since it is smaller than the sum of its proper divisors (179328713628).

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

112125105252 is a wasteful number, since it uses less digits than its factorization.

112125105252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711089 (or 2711081 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 112125105252 its reverse (252501521211), we get a palindrome (364626626463).

The spelling of 112125105252 in words is "one hundred twelve billion, one hundred twenty-five million, one hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 383 766 1149 1532 2298 3447 4596 6894 10341 13788 20682 41364 2710693 5421386 8132079 10842772 16264158 24396237 32528316 48792474 73188711 97584948 146377422 292754844 1038195419 2076390838 3114586257 4152781676 6229172514 9343758771 12458345028 18687517542 28031276313 37375035084 56062552626 112125105252