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1020020112 = 243215234651
BaseRepresentation
bin111100110011000…
…100010110010000
32122002100101112200
4330303010112100
54042111120422
6245114323200
734164012366
oct7463042620
92562311480
101020020112
11483858231
12245729500
131334297c7
149967d636
155e8382ac
hex3ccc4590

1020020112 has 60 divisors (see below), whose sum is σ = 2857128144. Its totient is φ = 339710400.

The previous prime is 1020020083. The next prime is 1020020129. The reversal of 1020020112 is 2110200201.

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 = 1020020094 and 1020020103.

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 11 ways as a sum of consecutive naturals, for example, 216987 + ... + 221637.

Almost surely, 21020020112 is an apocalyptic number.

1020020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020020112 is an abundant number, since it is smaller than the sum of its proper divisors (1837108032).

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

1020020112 is a wasteful number, since it uses less digits than its factorization.

1020020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020020112 is about 31937.7537093641. The cubic root of 1020020112 is about 1006.6293255937.

Adding to 1020020112 its reverse (2110200201), we get a palindrome (3130220313).

The spelling of 1020020112 in words is "one billion, twenty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1523 3046 4569 4651 6092 9138 9302 12184 13707 13953 18276 18604 24368 27414 27906 36552 37208 41859 54828 55812 73104 74416 83718 109656 111624 167436 219312 223248 334872 669744 7083473 14166946 21250419 28333892 42500838 56667784 63751257 85001676 113335568 127502514 170003352 255005028 340006704 510010056 1020020112