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32132332031031 = 3241252533448283
BaseRepresentation
bin1110100111001011001000…
…01111001000110000110111
311012202211011110121022020200
413103211210033020300313
513202424003444443111
6152201220050531543
76524325066531021
oct723454417106067
9135684143538220
1032132332031031
11a26927781a441
12372b564b96bb3
1314c10b1a5685b
147d12dad11011
153aac80717256
hex1d39643c8c37

32132332031031 has 24 divisors (see below), whose sum is σ = 47547298418256. Its totient is φ = 20898244095360.

The previous prime is 32132332030973. The next prime is 32132332031047. The reversal of 32132332031031 is 13013023323123.

32132332031031 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 23 + 320 + 310 + 3 + 1 = 666.

It is not a de Polignac number, because 32132332031031 - 223 = 32132323642423 is a prime.

It is a super-2 number, since 2×321323320310312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32132332030986 and 32132332031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32132332031081) 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 23 ways as a sum of consecutive naturals, for example, 7594216 + ... + 11042498.

It is an arithmetic number, because the mean of its divisors is an integer number (1981137434094).

Almost surely, 232132332031031 is an apocalyptic number.

32132332031031 is a deficient number, since it is larger than the sum of its proper divisors (15414966387225).

32132332031031 is a wasteful number, since it uses less digits than its factorization.

32132332031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473583 (or 3473580 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 32132332031031 its reverse (13013023323123), we get a palindrome (45145355354154).

The spelling of 32132332031031 in words is "thirty-two trillion, one hundred thirty-two billion, three hundred thirty-two million, thirty-one thousand, thirty-one".

Divisors: 1 3 9 41 123 369 25253 75759 227277 1035373 3106119 3448283 9318357 10344849 31034547 141379603 424138809 1272416427 87079490599 261238471797 783715415391 3570259114559 10710777343677 32132332031031