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1112220144432 = 243223538397787
BaseRepresentation
bin10000001011110101011…
…111001001001100110000
310221022211112102102110200
4100023311133021030300
5121210311324110212
62210540305355200
7143232565145535
oct20136537111460
93838745372420
101112220144432
11399765304411
1215b680338b00
1380b6072b177
143bb9042cd8c
151dde87096dc
hex102f57c9330

1112220144432 has 480 divisors, whose sum is σ = 3387986155008. Its totient is φ = 339762069504.

The previous prime is 1112220144401. The next prime is 1112220144437. The reversal of 1112220144432 is 2344410222111.

1112220144432 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 220 + 1 + 4 + 4 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1112220144396 and 1112220144405.

It is not an unprimeable number, because it can be changed into a prime (1112220144437) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1413239943 + ... + 1413240729.

Almost surely, 21112220144432 is an apocalyptic number.

1112220144432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112220144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693993077504).

1112220144432 is an abundant number, since it is smaller than the sum of its proper divisors (2275766010576).

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

1112220144432 is a wasteful number, since it uses less digits than its factorization.

1112220144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1112220144432 its reverse (2344410222111), we get a palindrome (3456630366543).

The spelling of 1112220144432 in words is "one trillion, one hundred twelve billion, two hundred twenty million, one hundred forty-four thousand, four hundred thirty-two".