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1002000112 = 241929113657
BaseRepresentation
bin111011101110010…
…100111011110000
32120211102212202021
4323232110323300
54023003000422
6243232201224
733554601061
oct7356247360
92524385667
101002000112
1147466a573
1223b699214
1312c78a699
149710c568
155ce78dc7
hex3bb94ef0

1002000112 has 40 divisors (see below), whose sum is σ = 2114038800. Its totient is φ = 458260992.

The previous prime is 1002000101. The next prime is 1002000137. The reversal of 1002000112 is 2110002001.

It is a junction number, because it is equal to n+sod(n) for n = 1002000095 and 1002000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48013 + ... + 65644.

It is an arithmetic number, because the mean of its divisors is an integer number (52850970).

Almost surely, 21002000112 is an apocalyptic number.

It is an amenable number.

1002000112 is an abundant number, since it is smaller than the sum of its proper divisors (1112038688).

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

1002000112 is a wasteful number, since it uses less digits than its factorization.

1002000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113713 (or 113707 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1002000112 is about 31654.3853517960. The cubic root of 1002000112 is about 1000.6662599990. Note that the first 3 decimals are identical.

Adding to 1002000112 its reverse (2110002001), we get a palindrome (3112002113).

The spelling of 1002000112 in words is "one billion, two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 2204 4408 8816 113657 227314 454628 909256 1818512 2159483 3296053 4318966 6592106 8637932 13184212 17275864 26368424 34551728 52736848 62625007 125250014 250500028 501000056 1002000112