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32230300101330 = 23523167787335527
BaseRepresentation
bin1110101010000001100111…
…00101101010101011010010
311020010012001000210220221210
413111000303211222223102
513211030123311220310
6152314221230400550
76534363611431152
oct725006345525322
9136105030726853
1032230300101330
11a2a688018a6a1
123746546360156
1314ca3c55bc816
147d5d52164762
153ad5b6383820
hex1d503396aad2

32230300101330 has 128 divisors (see below), whose sum is σ = 81211810111488. Its totient is φ = 8170566193152.

The previous prime is 32230300101319. The next prime is 32230300101367. The reversal of 32230300101330 is 3310100303223.

It is a junction number, because it is equal to n+sod(n) for n = 32230300101297 and 32230300101306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 907188027 + ... + 907223553.

It is an arithmetic number, because the mean of its divisors is an integer number (634467266496).

Almost surely, 232230300101330 is an apocalyptic number.

32230300101330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32230300101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40605905055744).

32230300101330 is an abundant number, since it is smaller than the sum of its proper divisors (48981510010158).

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

32230300101330 is a wasteful number, since it uses less digits than its factorization.

32230300101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43600.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 32230300101330 its reverse (3310100303223), we get a palindrome (35540400404553).

The spelling of 32230300101330 in words is "thirty-two trillion, two hundred thirty billion, three hundred million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 167 230 334 345 501 690 835 1002 1670 2505 3841 5010 7682 7873 11523 15746 19205 23046 23619 35527 38410 39365 47238 57615 71054 78730 106581 115230 118095 177635 181079 213162 236190 355270 362158 532905 543237 817121 905395 1065810 1086474 1314791 1634242 1810790 2451363 2629582 2716185 3944373 4085605 4902726 5432370 5933009 6573955 7888746 8171210 11866018 12256815 13147910 17799027 19721865 24513630 29665045 30240193 35598054 39443730 59330090 60480386 88995135 90720579 136459207 151200965 177990270 181441158 272918414 279704071 302401930 409377621 453602895 559408142 682296035 818755242 839112213 907205790 1364592070 1398520355 1678224426 2046888105 2797040710 4093776210 4195561065 6433193633 8391122130 12866387266 19299580899 32165968165 38599161798 46710579857 64331936330 93421159714 96497904495 140131739571 192995808990 233552899285 280263479142 467105798570 700658697855 1074343336711 1401317395710 2148686673422 3223030010133 5371716683555 6446060020266 10743433367110 16115150050665 32230300101330