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1020112144 = 24413973917
BaseRepresentation
bin111100110011011…
…010110100010000
32122002112001210021
4330303122310100
54042122042034
6245120313224
734164544612
oct7463326420
92562461707
101020112144
11483910397
12245772814
1313345c66c
14996a4db2
155e8556b4
hex3ccdad10

1020112144 has 40 divisors (see below), whose sum is σ = 2030291928. Its totient is φ = 496235520.

The previous prime is 1020112141. The next prime is 1020112153. The reversal of 1020112144 is 4412110201.

It is a happy number.

1020112144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 129686544 + 890425600 = 11388^2 + 29840^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1020112141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258474 + ... + 262390.

Almost surely, 21020112144 is an apocalyptic number.

It is an amenable number.

1020112144 is a deficient number, since it is larger than the sum of its proper divisors (1010179784).

1020112144 is a wasteful number, since it uses less digits than its factorization.

1020112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1020112144 is about 31939.1944795106. The cubic root of 1020112144 is about 1006.6595992857.

Adding to 1020112144 its reverse (4412110201), we get a palindrome (5432222345).

The spelling of 1020112144 in words is "one billion, twenty million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 82 164 328 397 656 794 1588 3176 3917 6352 7834 15668 16277 31336 32554 62672 65108 130216 160597 260432 321194 642388 1284776 1555049 2569552 3110098 6220196 12440392 24880784 63757009 127514018 255028036 510056072 1020112144