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32112001031301 = 3211331575222253
BaseRepresentation
bin1110100110100101010000…
…11010100001110010000101
311012200212200120020111201200
413103102220122201302011
513202110334231000201
6152144014415013113
76523005215063232
oct723225032416205
9135625616214650
1032112001031301
11a260694473424
12372763020a199
1314bc1c19190b9
147d032caa6789
153aa4908b7386
hex1d34a86a1c85

32112001031301 has 12 divisors (see below), whose sum is σ = 46794479380428. Its totient is φ = 21218549353344.

The previous prime is 32112001031293. The next prime is 32112001031347. The reversal of 32112001031301 is 10313010021123.

32112001031301 is a `hidden beast` number, since 321 + 1 + 2 + 0 + 0 + 10 + 31 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4629924779076 + 27482076252225 = 2151726^2 + 5242335^2 .

It is not a de Polignac number, because 32112001031301 - 23 = 32112001031293 is a prime.

It is a super-3 number, since 3×321120010313013 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (32112001031501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15787610110 + ... + 15787612143.

It is an arithmetic number, because the mean of its divisors is an integer number (3899539948369).

Almost surely, 232112001031301 is an apocalyptic number.

It is an amenable number.

32112001031301 is a deficient number, since it is larger than the sum of its proper divisors (14682478349127).

32112001031301 is a wasteful number, since it uses less digits than its factorization.

32112001031301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31575222372 (or 31575222369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 32112001031301 its reverse (10313010021123), we get a palindrome (42425011052424).

The spelling of 32112001031301 in words is "thirty-two trillion, one hundred twelve billion, one million, thirty-one thousand, three hundred one".

Divisors: 1 3 9 113 339 1017 31575222253 94725666759 284177000277 3568000114589 10704000343767 32112001031301