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1012214112 = 2537131091063
BaseRepresentation
bin111100010101010…
…010100101100000
32121112122210201120
4330111102211200
54033111322422
6244235132240
734040451360
oct7425224540
92545583646
101012214112
1147a406498
12242ba4080
13131925780
149860a9a0
155dce545c
hex3c552960

1012214112 has 192 divisors, whose sum is σ = 3303336960. Its totient is φ = 264259584.

The previous prime is 1012214101. The next prime is 1012214129. The reversal of 1012214112 is 2114122101.

It is a junction number, because it is equal to n+sod(n) for n = 1012214091 and 1012214100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951693 + ... + 952755.

It is an arithmetic number, because the mean of its divisors is an integer number (17204880).

Almost surely, 21012214112 is an apocalyptic number.

1012214112 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 1012214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651668480).

1012214112 is an abundant number, since it is smaller than the sum of its proper divisors (2291122848).

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

1012214112 is a wasteful number, since it uses less digits than its factorization.

1012214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1012214112 is about 31815.3125397190. The cubic root of 1012214112 is about 1004.0549061786.

Adding to 1012214112 its reverse (2114122101), we get a palindrome (3126336213).

The spelling of 1012214112 in words is "one billion, twelve million, two hundred fourteen thousand, one hundred twelve".