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83301381 = 3241225749
BaseRepresentation
bin1001111011100…
…01010000000101
312210202011000100
410331301100011
5132311121011
612133234313
72031023112
oct475612005
9183664010
1083301381
1143026619
1223a92999
1314347c77
14b0c5909
1574a6d56
hex4f71405

83301381 has 12 divisors (see below), whose sum is σ = 123259500. Its totient is φ = 54179520.

The previous prime is 83301359. The next prime is 83301401. The reversal of 83301381 is 18310338.

It can be written as a sum of positive squares in 2 ways, for example, as 28037025 + 55264356 = 5295^2 + 7434^2 .

It is not a de Polignac number, because 83301381 - 25 = 83301349 is a prime.

It is a super-2 number, since 2×833013812 = 13878240153014322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83301481) 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, 112506 + ... + 113243.

It is an arithmetic number, because the mean of its divisors is an integer number (10271625).

Almost surely, 283301381 is an apocalyptic number.

It is an amenable number.

83301381 is a deficient number, since it is larger than the sum of its proper divisors (39958119).

83301381 is a wasteful number, since it uses less digits than its factorization.

83301381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225796 (or 225793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83301381 is about 9126.9590225880. The cubic root of 83301381 is about 436.7343993632.

The spelling of 83301381 in words is "eighty-three million, three hundred one thousand, three hundred eighty-one".

Divisors: 1 3 9 41 123 369 225749 677247 2031741 9255709 27767127 83301381