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3401431131 = 37732218807
BaseRepresentation
bin1100101010111101…
…1011100001011011
322210001101121022210
43022233123201123
523431231244011
61321304250203
7150201454560
oct31257334133
98701347283
103401431131
11149602360a
127ab170963
13422907357
14243a60867
1514d93b6a6
hexcabdb85b

3401431131 has 16 divisors (see below), whose sum is σ = 5254137344. Its totient is φ = 1917048384.

The previous prime is 3401431087. The next prime is 3401431139. The reversal of 3401431131 is 1311341043.

It is not a de Polignac number, because 3401431131 - 210 = 3401430107 is a prime.

It is a super-2 number, since 2×34014311312 = 23139467477871878322, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3401431098 and 3401431107.

It is not an unprimeable number, because it can be changed into a prime (3401431139) 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 15 ways as a sum of consecutive naturals, for example, 1107871 + ... + 1110936.

It is an arithmetic number, because the mean of its divisors is an integer number (328383584).

Almost surely, 23401431131 is an apocalyptic number.

3401431131 is a deficient number, since it is larger than the sum of its proper divisors (1852706213).

3401431131 is a wasteful number, since it uses less digits than its factorization.

3401431131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218890.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3401431131 is about 58321.7895044382. The cubic root of 3401431131 is about 1503.9055454288.

Adding to 3401431131 its reverse (1311341043), we get a palindrome (4712772174).

The spelling of 3401431131 in words is "three billion, four hundred one million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 73 219 511 1533 2218807 6656421 15531649 46594947 161972911 485918733 1133810377 3401431131