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1031321330010 = 2325269353120677
BaseRepresentation
bin11110000000111111000…
…10101010000101011010
310122121000120000211212200
433000133202222011122
5113344121230030020
62105441003151030
7134340050443656
oct17003742520532
93577016024780
101031321330010
113684210057a4
12147a63515476
137633a3264ca
1437cb8165a66
151bc61395590
hexf01f8aa15a

1031321330010 has 96 divisors (see below), whose sum is σ = 2699050358160. Its totient is φ = 273218187264.

The previous prime is 1031321330009. The next prime is 1031321330029. The reversal of 1031321330010 is 100331231301.

It is a happy number.

1031321330010 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 321 + 330 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 435801983409 + 595519346601 = 660153^2 + 771699^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 8485792 + ... + 8606468.

Almost surely, 21031321330010 is an apocalyptic number.

1031321330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1031321330010 is an abundant number, since it is smaller than the sum of its proper divisors (1667729028150).

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

1031321330010 is a wasteful number, since it uses less digits than its factorization.

1031321330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121312 (or 121309 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1031321330010 its reverse (100331231301), we get a palindrome (1131652561311).

The spelling of 1031321330010 in words is "one trillion, thirty-one billion, three hundred twenty-one million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 269 353 538 706 807 1059 1345 1614 1765 2118 2421 2690 3177 3530 4035 4842 5295 6354 8070 10590 12105 15885 24210 31770 94957 120677 189914 241354 284871 362031 474785 569742 603385 724062 854613 949570 1086093 1206770 1424355 1709226 1810155 2172186 2848710 3620310 4273065 5430465 8546130 10860930 32462113 42598981 64924226 85197962 97386339 127796943 162310565 194772678 212994905 255593886 292159017 324621130 383390829 425989810 486931695 584318034 638984715 766781658 973863390 1277969430 1460795085 1916954145 2921590170 3833908290 11459125889 22918251778 34377377667 57295629445 68754755334 103132133001 114591258890 171886888335 206264266002 343773776670 515660665005 1031321330010