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1020011112 = 233214166821
BaseRepresentation
bin111100110011000…
…010001001101000
32122002022221012100
4330303002021220
54042110323422
6245114213400
734163644221
oct7463021150
92562287170
101020011112
1148385149a
12245724260
13133425693
149967a248
155e8357ac
hex3ccc2268

1020011112 has 24 divisors (see below), whose sum is σ = 2762530290. Its totient is φ = 340003680.

The previous prime is 1020011093. The next prime is 1020011123. The reversal of 1020011112 is 2111100201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 936727236 + 83283876 = 30606^2 + 9126^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020011094 and 1020011103.

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 5 ways as a sum of consecutive naturals, for example, 7083339 + ... + 7083482.

Almost surely, 21020011112 is an apocalyptic number.

1020011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020011112 is an abundant number, since it is smaller than the sum of its proper divisors (1742519178).

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

1020011112 is a wasteful number, since it uses less digits than its factorization.

1020011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166833 (or 14166826 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1020011112 is about 31937.6128099769. The cubic root of 1020011112 is about 1006.6263649689.

Adding to 1020011112 its reverse (2111100201), we get a palindrome (3131111313).

It can be divided in two parts, 10200 and 11112, that added together give a palindrome (21312).

The spelling of 1020011112 in words is "one billion, twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14166821 28333642 42500463 56667284 85000926 113334568 127501389 170001852 255002778 340003704 510005556 1020011112