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1034332131 = 37267105019
BaseRepresentation
bin111101101001101…
…010011111100011
32200002021111221110
4331221222133203
54104242112011
6250345154403
734426451400
oct7551523743
92602244843
101034332131
11490943048
1224a48ba03
1313639ac61
149b5272a7
1560c13ba6
hex3da6a7e3

1034332131 has 24 divisors (see below), whose sum is σ = 1628230080. Its totient is φ = 582219792.

The previous prime is 1034332129. The next prime is 1034332141. The reversal of 1034332131 is 1312334301.

It is not a de Polignac number, because 1034332131 - 21 = 1034332129 is a prime.

It is a super-2 number, since 2×10343321312 = 2139685914438002322, which 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 = 1034332098 and 1034332107.

It is not an unprimeable number, because it can be changed into a prime (1034332111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42661 + ... + 62358.

It is an arithmetic number, because the mean of its divisors is an integer number (67842920).

Almost surely, 21034332131 is an apocalyptic number.

1034332131 is a deficient number, since it is larger than the sum of its proper divisors (593897949).

1034332131 is a wasteful number, since it uses less digits than its factorization.

1034332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105103 (or 105096 counting only the distinct ones).

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

The square root of 1034332131 is about 32161.0343583660. The cubic root of 1034332131 is about 1011.3155197298.

Adding to 1034332131 its reverse (1312334301), we get a palindrome (2346666432).

The spelling of 1034332131 in words is "one billion, thirty-four million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 67 147 201 469 1407 3283 9849 105019 315057 735133 2205399 5145931 7036273 15437793 21108819 49253911 147761733 344777377 1034332131