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10320013213011 = 354716322324859
BaseRepresentation
bin1001011000101101000010…
…1110001011110101010011
31100112120202110112211200000
42112023100232023311103
52323040341340304021
633540540522501043
72113411355644515
oct226132056136523
940476673484600
1010320013213011
113319769464487
1211a8107664783
1359b233309bb8
142796c41d5bb5
1512d6a95ccb26
hex962d0b8bd53

10320013213011 has 96 divisors (see below), whose sum is σ = 15956425605120. Its totient is φ = 6662036670624.

The previous prime is 10320013213009. The next prime is 10320013213057. The reversal of 10320013213011 is 11031231002301.

10320013213011 is a `hidden beast` number, since 10 + 32 + 0 + 0 + 1 + 321 + 301 + 1 = 666.

10320013213011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10320013213011 - 21 = 10320013213009 is a prime.

It is a super-2 number, since 2×103200132130112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10320013213001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415129500 + ... + 415154358.

It is an arithmetic number, because the mean of its divisors is an integer number (166212766720).

Almost surely, 210320013213011 is an apocalyptic number.

10320013213011 is a deficient number, since it is larger than the sum of its proper divisors (5636412392109).

10320013213011 is a wasteful number, since it uses less digits than its factorization.

10320013213011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25307 (or 25295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10320013213011 its reverse (11031231002301), we get a palindrome (21351244215312).

The spelling of 10320013213011 in words is "ten trillion, three hundred twenty billion, thirteen million, two hundred thirteen thousand, eleven".

Divisors: 1 3 9 27 47 81 141 163 223 243 423 489 669 1269 1467 2007 3807 4401 6021 7661 10481 11421 13203 18063 22983 24859 31443 36349 39609 54189 68949 74577 94329 109047 206847 223731 282987 327141 620541 671193 848961 981423 1168373 1708403 1861623 2013579 2546883 2944269 3505119 4052017 5125209 5543557 6040737 8832807 10515357 12156051 15375627 16630671 31546071 36468153 46126881 49892013 94638213 109404459 138380643 149676039 190444799 260547179 283914639 328213377 415141929 449028117 571334397 781641537 903599791 984640131 1347084351 1714003191 2344924611 2710799373 5142009573 7034773833 8132398119 15426028719 21104321499 24397194357 42469190177 46278086157 63312964497 73191583071 127407570531 219574749213 382222711593 1146668134779 3440004404337 10320013213011