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34201331031 = 3715115676883
BaseRepresentation
bin11111110110100011…
…101110010101010111
310021021112211122002010
4133312203232111113
51030021020043111
623413433115303
72320353342240
oct376643562527
9107245748063
1034201331031
111356083a23a
126765b58b33
1332c09188aa
141926409cc7
15d528bcaa6
hex7f68ee557

34201331031 has 32 divisors (see below), whose sum is σ = 52502560768. Its totient is φ = 19398981600.

The previous prime is 34201330997. The next prime is 34201331057. The reversal of 34201331031 is 13013310243.

It is not a de Polignac number, because 34201331031 - 213 = 34201322839 is a prime.

It is a super-2 number, since 2×342013310312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34201330989 and 34201331007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201331531) 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 31 ways as a sum of consecutive naturals, for example, 4965516 + ... + 4972398.

It is an arithmetic number, because the mean of its divisors is an integer number (1640705024).

Almost surely, 234201331031 is an apocalyptic number.

34201331031 is a deficient number, since it is larger than the sum of its proper divisors (18301229737).

34201331031 is a wasteful number, since it uses less digits than its factorization.

34201331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 34201331031 its reverse (13013310243), we get a palindrome (47214641274).

The spelling of 34201331031 in words is "thirty-four billion, two hundred one million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 21 151 453 1057 1567 3171 4701 6883 10969 20649 32907 48181 144543 236617 709851 1039333 1656319 3117999 4968957 7275331 10785661 21825993 32356983 75499627 226498881 1628634811 4885904433 11400443677 34201331031