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1031334402324 = 2232315737363809
BaseRepresentation
bin11110000001000000101…
…00100001100100010100
310122121001110121222201110
433000200110201210110
5113344133101333244
62105442151255020
7134340266530452
oct17004024414424
93577043558643
101031334402324
11368428424166
12147a6797a470
137633cc525c5
1437cb9ba99d2
151bc625c89b9
hexf020521914

1031334402324 has 96 divisors (see below), whose sum is σ = 2533883869440. Its totient is φ = 325855715328.

The previous prime is 1031334402317. The next prime is 1031334402341. The reversal of 1031334402324 is 4232044331301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1031334402291 and 1031334402300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16130932 + ... + 16194740.

It is an arithmetic number, because the mean of its divisors is an integer number (26394623640).

Almost surely, 21031334402324 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 1031334402324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266941934720).

1031334402324 is an abundant number, since it is smaller than the sum of its proper divisors (1502549467116).

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

1031334402324 is a wasteful number, since it uses less digits than its factorization.

1031334402324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64369 (or 64367 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1031334402324 its reverse (4232044331301), we get a palindrome (5263378733625).

The spelling of 1031334402324 in words is "one trillion, thirty-one billion, three hundred thirty-four million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 157 276 314 373 471 628 746 942 1119 1492 1884 2238 3611 4476 7222 8579 10833 14444 17158 21666 25737 34316 43332 51474 58561 63809 102948 117122 127618 175683 191427 234244 255236 351366 382854 702732 765708 1346903 1467607 2693806 2935214 4040709 4402821 5387612 5870428 8081418 8805642 10018013 16162836 17611284 20036026 23800757 30054039 40072052 47601514 60108078 71402271 95203028 120216156 142804542 230414299 285609084 460828598 547417411 691242897 921657196 1094834822 1382485794 1642252233 2189669644 2764971588 3284504466 3736718849 6569008932 7473437698 11210156547 14946875396 22420313094 44840626188 85944533527 171889067054 257833600581 343778134108 515667201162 1031334402324