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1012314112 = 2121012447
BaseRepresentation
bin111100010101101…
…011000000000000
32121112211212220021
4330111223000000
54033123022422
6244241223224
734041346045
oct7425530000
92545755807
101012314112
1147a474637
12243031b14
1313195c144
14986351cc
155dd14dc7
hex3c56b000

1012314112 has 52 divisors (see below), whose sum is σ = 2045259936. Its totient is φ = 500940800.

The previous prime is 1012314101. The next prime is 1012314131. The reversal of 1012314112 is 2114132101.

It is a super-2 number, since 2×10123141122 = 2049559722708697088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412473 + ... + 414919.

Almost surely, 21012314112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022629968).

1012314112 is an abundant number, since it is smaller than the sum of its proper divisors (1032945824).

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

1012314112 is an equidigital number, since it uses as much as digits as its factorization.

1012314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1012314112 is about 31816.8840711972. The cubic root of 1012314112 is about 1004.0879697314.

Adding to 1012314112 its reverse (2114132101), we get a palindrome (3126446213).

The spelling of 1012314112 in words is "one billion, twelve million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 2048 2447 3232 4096 4894 6464 9788 12928 19576 25856 39152 51712 78304 103424 156608 206848 247147 313216 413696 494294 626432 988588 1252864 1977176 2505728 3954352 5011456 7908704 10022912 15817408 31634816 63269632 126539264 253078528 506157056 1012314112