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34420101331 = 7111726294959
BaseRepresentation
bin100000000011100110…
…010001000011010011
310021211210111022111211
4200003212101003103
51030443021220311
623451250120551
72325651014440
oct400346210323
9107753438454
1034420101331
1113663282640
126807280157
133327045685
1419474b69c7
15d66bd3821
hex8039910d3

34420101331 has 16 divisors (see below), whose sum is σ = 45437690880. Its totient is φ = 25243159680.

The previous prime is 34420101329. The next prime is 34420101361. The reversal of 34420101331 is 13310102443.

It is a cyclic number.

It is not a de Polignac number, because 34420101331 - 21 = 34420101329 is a prime.

It is a super-2 number, since 2×344201013312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34420101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13146171 + ... + 13148788.

It is an arithmetic number, because the mean of its divisors is an integer number (2839855680).

Almost surely, 234420101331 is an apocalyptic number.

34420101331 is a deficient number, since it is larger than the sum of its proper divisors (11017589549).

34420101331 is a wasteful number, since it uses less digits than its factorization.

34420101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26294994.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34420101331 its reverse (13310102443), we get a palindrome (47730203774).

The spelling of 34420101331 in words is "thirty-four billion, four hundred twenty million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 7 11 17 77 119 187 1309 26294959 184064713 289244549 447014303 2024711843 3129100121 4917157333 34420101331