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10305307012 = 22721113228283
BaseRepresentation
bin10011001100011111…
…01000000110000100
3222121012020211121111
421212033220012010
5132101124311022
64422330254404
7513242443600
oct114617500604
928535224544
1010305307012
114409093760
121bb7287404
13c83025a00
146da918500
15404ab9477
hex2663e8184

10305307012 has 108 divisors (see below), whose sum is σ = 24782553936. Its totient is φ = 3706073280.

The previous prime is 10305306971. The next prime is 10305307079. The reversal of 10305307012 is 21070350301.

It is a super-2 number, since 2×103053070122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350223 + ... + 378505.

It is an arithmetic number, because the mean of its divisors is an integer number (229468092).

Almost surely, 210305307012 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 10305307012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391276968).

10305307012 is an abundant number, since it is smaller than the sum of its proper divisors (14477246924).

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

10305307012 is a wasteful number, since it uses less digits than its factorization.

10305307012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28338 (or 28316 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

Adding to 10305307012 its reverse (21070350301), we get a palindrome (31375657313).

The spelling of 10305307012 in words is "ten billion, three hundred five million, three hundred seven thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 169 182 196 286 308 338 364 539 572 637 676 1001 1078 1183 1274 1859 2002 2156 2366 2548 3718 4004 4732 7007 7436 8281 13013 14014 16562 26026 28028 28283 33124 52052 56566 91091 113132 182182 197981 311113 364364 367679 395962 622226 735358 791924 1244452 1385867 1470716 2177791 2573753 2771734 4044469 4355582 4779827 5147506 5543468 8088938 8711164 9559654 10295012 15244537 16177876 18016271 19119308 28311283 30489074 33458789 36032542 52578097 56622566 60978148 66917578 72065084 105156194 113245132 133835156 198178981 210312388 234211523 368046679 396357962 468423046 736093358 792715924 936846092 1472186716 2576326753 5152653506 10305307012