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1320320002023 = 3211371512938147
BaseRepresentation
bin10011001101101001001…
…101000110011111100111
311200012222101000111201200
4103031221031012133213
5133113003410031043
62450314023453543
7164250521562651
oct23155115063747
94605871014650
101320320002023
11469a432474a0
12193a785b72b3
1397675b84189
1447c9216d6d1
1524527d017d3
hex133693467e7

1320320002023 has 96 divisors (see below), whose sum is σ = 2158490460672. Its totient is φ = 770676768000.

The previous prime is 1320320002019. The next prime is 1320320002051. The reversal of 1320320002023 is 3202000230231.

It is a happy number.

1320320002023 is a `hidden beast` number, since 1 + 320 + 320 + 0 + 0 + 2 + 0 + 23 = 666.

It is not a de Polignac number, because 1320320002023 - 22 = 1320320002019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1320320001987 and 1320320002005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320320002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162058036 + ... + 162066182.

It is an arithmetic number, because the mean of its divisors is an integer number (22484275632).

Almost surely, 21320320002023 is an apocalyptic number.

1320320002023 is a deficient number, since it is larger than the sum of its proper divisors (838170458649).

1320320002023 is a wasteful number, since it uses less digits than its factorization.

1320320002023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1320320002023 its reverse (3202000230231), we get a palindrome (4522320232254).

The spelling of 1320320002023 in words is "one trillion, three hundred twenty billion, three hundred twenty million, two thousand, twenty-three".

Divisors: 1 3 9 11 33 37 99 111 151 293 333 407 453 879 1221 1359 1661 2637 3223 3663 4983 5587 8147 9669 10841 14949 16761 24441 29007 32523 44243 50283 61457 73323 89617 97569 119251 132729 184371 268851 301439 357753 398187 486673 553113 806553 904317 1073259 1230197 1460019 1636991 2387071 2712951 3315829 3690591 4380057 4910973 7161213 9947487 11071773 13532167 14732919 18006901 21483639 26257781 29842461 40596501 45517289 54020703 78773343 88321627 121789503 136551867 162062109 236320029 264964881 360447721 409655601 500690179 794894643 971537897 1081343163 1502070537 2914613691 3244029489 3964924931 4506211611 8743841073 11894774793 13336565677 35684324379 40009697031 120029091093 146702222447 440106667341 1320320002023