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32113321113312 = 253337168195733
BaseRepresentation
bin1110100110100111101110…
…00110001111011011100000
311012201000002120012121211000
413103103313012033123200
513202121040201111222
6152144353412552000
76523053014433645
oct723236706173340
9135630076177730
1032113321113312
11a26120163759a
12372793a322600
1314bc37226590a
147d0416133dcc
153aa51b7229ac
hex1d34f718f6e0

32113321113312 has 48 divisors (see below), whose sum is σ = 93663853249680. Its totient is φ = 10704440370816.

The previous prime is 32113321113299. The next prime is 32113321113359. The reversal of 32113321113312 is 21331112331123.

32113321113312 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 3 + 321 + 1 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×321133211133122 (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18584097003 + ... + 18584098730.

It is an arithmetic number, because the mean of its divisors is an integer number (1951330276035).

Almost surely, 232113321113312 is an apocalyptic number.

32113321113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32113321113312 is an abundant number, since it is smaller than the sum of its proper divisors (61550532136368).

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

32113321113312 is a wasteful number, since it uses less digits than its factorization.

32113321113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37168195752 (or 37168195738 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 32113321113312 its reverse (21331112331123), we get a palindrome (53444433444435).

The spelling of 32113321113312 in words is "thirty-two trillion, one hundred thirteen billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 37168195733 74336391466 111504587199 148672782932 223009174398 297345565864 334513761597 446018348796 594691131728 669027523194 892036697592 1003541284791 1189382263456 1338055046388 1784073395184 2007082569582 2676110092776 3568146790368 4014165139164 5352220185552 8028330278328 10704440371104 16056660556656 32113321113312