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32111324142030 = 2325760427843503
BaseRepresentation
bin1110100110100100000000…
…00100011001100111001110
311012200210221101112222012200
413103102000010121213032
513202102442440021110
6152143423314542330
76522652355445150
oct723220004314716
9135623841488180
1032111324142030
11a260377379501
1237274815979a6
1314bc11460bcc3
147d02a6c26ad0
153aa45125c6c0
hex1d34801199ce

32111324142030 has 96 divisors (see below), whose sum is σ = 95418198180864. Its totient is φ = 7339601066688.

The previous prime is 32111324141959. The next prime is 32111324142067. The reversal of 32111324142030 is 3024142311123.

32111324142030 is a `hidden beast` number, since 3 + 2 + 1 + 11 + 32 + 414 + 203 + 0 = 666.

It is a super-3 number, since 3×321113241420303 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32111324141985 and 32111324142003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37647259 + ... + 38490761.

It is an arithmetic number, because the mean of its divisors is an integer number (993939564384).

Almost surely, 232111324142030 is an apocalyptic number.

32111324142030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32111324142030 is an abundant number, since it is smaller than the sum of its proper divisors (63306874038834).

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

32111324142030 is a wasteful number, since it uses less digits than its factorization.

32111324142030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903950 (or 903947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 32111324142030 its reverse (3024142311123), we get a palindrome (35135466453153).

The spelling of 32111324142030 in words is "thirty-two trillion, one hundred eleven billion, three hundred twenty-four million, one hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 60427 120854 181281 302135 362562 422989 543843 604270 843503 845978 906405 1087686 1268967 1687006 1812810 2114945 2530509 2537934 2719215 3806901 4217515 4229890 5061018 5438430 5904521 6344835 7591527 7613802 8435030 11809042 12652545 12689670 15183054 17713563 19034505 25305090 29522605 35427126 37957635 38069010 53140689 59045210 75915270 88567815 106281378 177135630 265703445 531406890 50970355781 101940711562 152911067343 254851778905 305822134686 356792490467 458733202029 509703557810 713584980934 764555336715 917466404058 1070377471401 1529110673430 1783962452335 2140754942802 2293666010145 3211132414203 3567924904670 4587332020290 5351887357005 6422264828406 10703774714010 16055662071015 32111324142030