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1020230042 = 213192731489
BaseRepresentation
bin111100110011110…
…111100110011010
32122002202001111212
4330303313212122
54042134330132
6245123023122
734165545416
oct7463674632
92562661455
101020230042
11483990a27
1224580aaa2
131334a1220
14996d5d46
155e87a5b2
hex3ccf799a

1020230042 has 48 divisors (see below), whose sum is σ = 1764380520. Its totient is φ = 439686144.

The previous prime is 1020230041. The next prime is 1020230047. The reversal of 1020230042 is 2400320201.

It can be written as a sum of positive squares in 4 ways, for example, as 590538601 + 429691441 = 24301^2 + 20729^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020229999 and 1020230026.

It is not an unprimeable number, because it can be changed into a prime (1020230041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684434 + ... + 685922.

Almost surely, 21020230042 is an apocalyptic number.

1020230042 is a deficient number, since it is larger than the sum of its proper divisors (744150478).

1020230042 is a wasteful number, since it uses less digits than its factorization.

1020230042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1020230042 is about 31941.0400895149. The cubic root of 1020230042 is about 1006.6983788722.

Adding to 1020230042 its reverse (2400320201), we get a palindrome (3420550243).

The spelling of 1020230042 in words is "one billion, twenty million, two hundred thirty thousand, forty-two".

Divisors: 1 2 13 19 26 38 73 146 247 361 494 722 949 1387 1489 1898 2774 2978 4693 9386 18031 19357 26353 28291 36062 38714 52706 56582 108697 217394 342589 367783 537529 685178 735566 1075058 1413061 2065243 2826122 4130486 6987877 13975754 26848159 39239617 53696318 78479234 510115021 1020230042