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1034100431 = 71344925309
BaseRepresentation
bin111101101000110…
…001111011001111
32200001211202002222
4331220301323033
54104212203211
6250340205555
734424465030
oct7550617317
92601752088
101034100431
114907a4a61
1224a3998bb
13136319660
149b4a6a87
1560bba1db
hex3da31ecf

1034100431 has 16 divisors (see below), whose sum is σ = 1275624000. Its totient is φ = 816334848.

The previous prime is 1034100427. The next prime is 1034100443. The reversal of 1034100431 is 1340014301.

It is not a de Polignac number, because 1034100431 - 22 = 1034100427 is a prime.

It is a super-2 number, since 2×10341004312 = 2138727402788771522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034100461) 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, 28205 + ... + 53513.

It is an arithmetic number, because the mean of its divisors is an integer number (79726500).

Almost surely, 21034100431 is an apocalyptic number.

1034100431 is a deficient number, since it is larger than the sum of its proper divisors (241523569).

1034100431 is a wasteful number, since it uses less digits than its factorization.

1034100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25778.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1034100431 is about 32157.4319714743. The cubic root of 1034100431 is about 1011.2399994020.

Adding to 1034100431 its reverse (1340014301), we get a palindrome (2374114732).

The spelling of 1034100431 in words is "one billion, thirty-four million, one hundred thousand, four hundred thirty-one".

Divisors: 1 7 13 91 449 3143 5837 25309 40859 177163 329017 2303119 11363741 79546187 147728633 1034100431