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32113120321233 = 3272575633522901
BaseRepresentation
bin1110100110100111010110…
…01000010001111011010001
311012200222120120101022212100
413103103223020101323101
513202120132300234413
6152144321441151013
76523045025640210
oct723235310217321
9135628516338770
1032113120321233
11a261109263526
1237278a302b469
1314bc33c791c33
147d03d75c7077
153aa508cada73
hex1d34eb211ed1

32113120321233 has 48 divisors (see below), whose sum is σ = 53312949645696. Its totient is φ = 18246480076800.

The previous prime is 32113120321133. The next prime is 32113120321237. The reversal of 32113120321233 is 33212302131123.

32113120321233 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 312 + 0 + 321 + 23 + 3 = 666.

It is not a de Polignac number, because 32113120321233 - 210 = 32113120320209 is a prime.

It is a super-2 number, since 2×321131203212332 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32113120321197 and 32113120321206.

It is not an unprimeable number, because it can be changed into a prime (32113120321237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7354083 + ... + 10876983.

It is an arithmetic number, because the mean of its divisors is an integer number (1110686450952).

Almost surely, 232113120321233 is an apocalyptic number.

It is an amenable number.

32113120321233 is a deficient number, since it is larger than the sum of its proper divisors (21199829324463).

32113120321233 is a wasteful number, since it uses less digits than its factorization.

32113120321233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523734 (or 3523731 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 32113120321233 its reverse (33212302131123), we get a palindrome (65325422452356).

The spelling of 32113120321233 in words is "thirty-two trillion, one hundred thirteen billion, one hundred twenty million, three hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 257 563 771 1689 1799 2313 3941 5067 5397 11823 16191 35469 144691 434073 1012837 1302219 3038511 3522901 9115533 10568703 24660307 31706109 73980921 221942763 905385557 1983393263 2716156671 5950179789 6337698899 8148470013 13883752841 17850539367 19013096697 41651258523 57039290091 124953775569 509732068591 1529196205773 3568124480137 4587588617319 10704373440411 32113120321233