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32300332221330 = 23351423562314951
BaseRepresentation
bin1110101100000100000011…
…10101000000001110010010
311020100212210200121020012000
413112002001311000032102
513213202040022040310
6152410322350014430
76542423225556135
oct726020165001622
9136325720536160
1032300332221330
11a32354851aa18
12375802baa7416
131503ba65a2094
147d94b713c21c
153b03146db4c0
hex1d6081d40392

32300332221330 has 128 divisors (see below), whose sum is σ = 86215844413440. Its totient is φ = 8605262577600.

The previous prime is 32300332221317. The next prime is 32300332221337. The reversal of 32300332221330 is 3312223300323.

32300332221330 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 0 + 3 + 322 + 2 + 1 + 330 = 666.

It is a super-2 number, since 2×323003322213302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32300332221294 and 32300332221303.

It is not an unprimeable number, because it can be changed into a prime (32300332221337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2160405355 + ... + 2160420305.

It is an arithmetic number, because the mean of its divisors is an integer number (673561284480).

Almost surely, 232300332221330 is an apocalyptic number.

32300332221330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32300332221330 is an abundant number, since it is smaller than the sum of its proper divisors (53915512192110).

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

32300332221330 is a wasteful number, since it uses less digits than its factorization.

32300332221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22013 (or 22007 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 32300332221330 its reverse (3312223300323), we get a palindrome (35612555521653).

The spelling of 32300332221330 in words is "thirty-two trillion, three hundred billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1423 2846 4269 5623 7115 8538 11246 12807 14230 14951 16869 21345 25614 28115 29902 33738 38421 42690 44853 50607 56230 64035 74755 76842 84345 89706 101214 128070 134559 149510 151821 168690 192105 224265 253035 269118 303642 384210 403677 448530 506070 672795 759105 807354 1345590 1518210 2018385 4036770 8001529 16003058 21275273 24004587 40007645 42550546 48009174 63825819 72013761 80015290 84069473 106376365 120022935 127651638 144027522 168138946 191477457 212752730 216041283 240045870 252208419 319129095 360068805 382954914 420347365 432082566 504416838 574432371 638258190 720137610 756625257 840694730 957387285 1080206415 1148864742 1261042095 1513250514 1914774570 2160412830 2269875771 2522084190 2872161855 3783126285 4539751542 5744323710 7566252570 11349378855 22698757710 119630860079 239261720158 358892580237 598154300395 717785160474 1076677740711 1196308600790 1794462901185 2153355481422 3230033222133 3588925802370 5383388703555 6460066444266 10766777407110 16150166110665 32300332221330