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112433021010324 = 2232719229710223009
BaseRepresentation
bin11001100100000111011010…
…010001110100000110010100
3112202002111021112211010112100
4121210013122101310012110
5104214100311334312244
61035043003343522100
732453006034055020
oct3144073221640624
9482074245733470
10112433021010324
1132908638268153
121073a3332b9330
134a97508398711
141da9b04313380
15cee993056b69
hex6641da474194

112433021010324 has 144 divisors (see below), whose sum is σ = 342050464828800. Its totient is φ = 30419746172928.

The previous prime is 112433021010307. The next prime is 112433021010353. The reversal of 112433021010324 is 423010120334211.

112433021010324 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 330 + 2 + 1 + 0 + 1 + 0 + 324 = 666.

It is a super-3 number, since 3×1124330210103243 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5886532 + ... + 16109540.

It is an arithmetic number, because the mean of its divisors is an integer number (2375350450200).

Almost surely, 2112433021010324 is an apocalyptic number.

112433021010324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112433021010324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171025232414400).

112433021010324 is an abundant number, since it is smaller than the sum of its proper divisors (229617443818476).

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

112433021010324 is a wasteful number, since it uses less digits than its factorization.

112433021010324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225342 (or 10225337 counting only the distinct ones).

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

Adding to 112433021010324 its reverse (423010120334211), we get a palindrome (535443141344535).

The spelling of 112433021010324 in words is "one hundred twelve trillion, four hundred thirty-three billion, twenty-one million, ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2297 2394 4594 4788 6891 9188 13782 16079 20673 27564 32158 41346 43643 48237 64316 82692 87286 96474 130929 144711 174572 192948 261858 289422 305501 392787 523716 578844 611002 785574 916503 1222004 1571148 1833006 2749509 3666012 5499018 10223009 10998036 20446018 30669027 40892036 61338054 71561063 92007081 122676108 143122126 184014162 194237171 214683189 286244252 368028324 388474342 429366378 582711513 644049567 776948684 858732756 1165423026 1288099134 1359660197 1748134539 2330846052 2576198268 2719320394 3496269078 4078980591 5438640788 6992538156 8157961182 12236941773 16315922364 23482251673 24473883546 46964503346 48947767092 70446755019 93929006692 140893510038 164375761711 211340265057 281787020076 328751523422 422680530114 446162781787 493127285133 657503046844 845361060228 892325563574 986254570266 1338488345361 1479381855399 1784651127148 1972509140532 2676976690722 2958763710798 3123139472509 4015465036083 5353953381444 5917527421596 6246278945018 8030930072166 9369418417527 12492557890036 16061860144332 18738836835054 28108255252581 37477673670108 56216510505162 112433021010324