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10312200444 = 22371341230327
BaseRepresentation
bin10011001101010011…
…11011000011111100
3222121200020001121210
421212221323003330
5132104410403234
64423134124420
7513355154220
oct114651730374
928550201553
1010312200444
114411a71907
121bb9650710
13c8459a570
146db7d0780
154054cbbe9
hex266a7b0fc

10312200444 has 96 divisors (see below), whose sum is σ = 30336961536. Its totient is φ = 2653355520.

The previous prime is 10312200439. The next prime is 10312200461. The reversal of 10312200444 is 44400221301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10312200444.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 70392 + ... + 159935.

It is an arithmetic number, because the mean of its divisors is an integer number (316010016).

Almost surely, 210312200444 is an apocalyptic number.

10312200444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10312200444 is an abundant number, since it is smaller than the sum of its proper divisors (20024761092).

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

10312200444 is a wasteful number, since it uses less digits than its factorization.

10312200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230395 (or 230393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10312200444 its reverse (44400221301), we get a palindrome (54712421745).

The spelling of 10312200444 in words is "ten billion, three hundred twelve million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 78 82 84 91 123 156 164 182 246 273 287 364 492 533 546 574 861 1066 1092 1148 1599 1722 2132 3198 3444 3731 6396 7462 11193 14924 22386 44772 230327 460654 690981 921308 1381962 1612289 2763924 2994251 3224578 4836867 5988502 6449156 8982753 9443407 9673734 11977004 17965506 18886814 19347468 20959757 28330221 35931012 37773628 41919514 56660442 62879271 66103849 83839028 113320884 122764291 125758542 132207698 198311547 245528582 251517084 264415396 368292873 396623094 491057164 736585746 793246188 859350037 1473171492 1718700074 2578050111 3437400148 5156100222 10312200444