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320130302123331 = 327198913921618613
BaseRepresentation
bin100100011001010000010010…
…0111100001001110101000011
31112222111011021011211210102200
41020302200210330021311003
5313430003324320421311
63052505455221044243
7124300436214341250
oct11062404474116503
91488434234753380
10320130302123331
1193004553850397
122baa3492556683
131098220905277b
14590a564326427
1527024ccd36556
hex1232824f09d43

320130302123331 has 96 divisors (see below), whose sum is σ = 566580635712000. Its totient is φ = 170123602834944.

The previous prime is 320130302123321. The next prime is 320130302123341. The reversal of 320130302123331 is 133321203031023.

320130302123331 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 3 + 0 + 302 + 1 + 23 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (320130302123321) and next prime (320130302123341).

It is not a de Polignac number, because 320130302123331 - 210 = 320130302122307 is a prime.

It is a super-2 number, since 2×3201303021233312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320130302123295 and 320130302123304.

It is not an unprimeable number, because it can be changed into a prime (320130302123321) 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, 3998781 + ... + 25617393.

It is an arithmetic number, because the mean of its divisors is an integer number (5901881622000).

Almost surely, 2320130302123331 is an apocalyptic number.

320130302123331 is a deficient number, since it is larger than the sum of its proper divisors (246450333588669).

320130302123331 is a wasteful number, since it uses less digits than its factorization.

320130302123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21618873 (or 21618870 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 320130302123331 its reverse (133321203031023), we get a palindrome (453451505154354).

The spelling of 320130302123331 in words is "three hundred twenty trillion, one hundred thirty billion, three hundred two million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 89 133 139 171 267 399 417 623 801 973 1197 1251 1691 1869 2641 2919 5073 5607 7923 8757 11837 12371 15219 18487 23769 35511 37113 55461 86597 106533 111339 166383 235049 259791 705147 779373 1645343 2115441 4936029 14808087 21618613 64855839 151330291 194567517 410753647 453990873 1232260941 1361972619 1924056557 2875275529 3004987207 3696782823 5772169671 8625826587 9014961621 13468395899 17316509013 21034910449 25877479761 27044884863 36557074583 40405187697 57094756933 63104731347 109671223749 121215563091 171284270799 189314194041 255899522081 267443861423 329013671247 399663298531 513852812397 767698566243 802331584269 1198989895593 1872107029961 2303095698729 2406994752807 3596969686779 5081433367037 5616321089883 15244300101111 16848963269649 35570033569259 45732900303333 106710100707777 320130302123331