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10302312012 = 22319239189061
BaseRepresentation
bin10011001100001000…
…01100111001001100
3222120222121200020120
421212010030321030
5132044342441022
64422142144540
7513205131036
oct114604147114
928528550216
1010302312012
114407428553
121bb6282150
13c82517715
146da378c56
154046c6d5c
hex26610ce4c

10302312012 has 48 divisors (see below), whose sum is σ = 25409932800. Its totient is φ = 3239732160.

The previous prime is 10302312011. The next prime is 10302312049. The reversal of 10302312012 is 21021320301.

It is a super-3 number, since 3×103023120123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10302311982 and 10302312000.

It is not an unprimeable number, because it can be changed into a prime (10302312011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40039 + ... + 149022.

It is an arithmetic number, because the mean of its divisors is an integer number (529373600).

Almost surely, 210302312012 is an apocalyptic number.

10302312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10302312012 is an abundant number, since it is smaller than the sum of its proper divisors (15107620788).

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

10302312012 is a wasteful number, since it uses less digits than its factorization.

10302312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189326 (or 189324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10302312012 its reverse (21021320301), we get a palindrome (31323632313).

The spelling of 10302312012 in words is "ten billion, three hundred two million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 239 478 717 956 1434 2868 4541 9082 13623 18164 27246 54492 189061 378122 567183 756244 1134366 2268732 3592159 7184318 10776477 14368636 21552954 43105908 45185579 90371158 135556737 180742316 271113474 542226948 858526001 1717052002 2575578003 3434104004 5151156006 10302312012