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10434032031 = 357120812927
BaseRepresentation
bin10011011011110101…
…01011000110011111
3222221011110202010210
421231322223012133
5132332103011111
64443205303503
7516364544313
oct115572530637
928834422123
1010434032031
114474814775
122032404b93
13ca38b6067
1470da65b43
154110450a6
hex26deab19f

10434032031 has 16 divisors (see below), whose sum is σ = 13947867648. Its totient is φ = 6938131200.

The previous prime is 10434032029. The next prime is 10434032033. The reversal of 10434032031 is 13023043401.

It is an interprime number because it is at equal distance from previous prime (10434032029) and next prime (10434032033).

It is not a de Polignac number, because 10434032031 - 21 = 10434032029 is a prime.

It is a super-2 number, since 2×104340320312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10434031989 and 10434032007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434032033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3563290 + ... + 3566216.

It is an arithmetic number, because the mean of its divisors is an integer number (871741728).

Almost surely, 210434032031 is an apocalyptic number.

10434032031 is a deficient number, since it is larger than the sum of its proper divisors (3513835617).

10434032031 is a wasteful number, since it uses less digits than its factorization.

10434032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10434032031 its reverse (13023043401), we get a palindrome (23457075432).

The spelling of 10434032031 in words is "ten billion, four hundred thirty-four million, thirty-two thousand, thirty-one".

Divisors: 1 3 571 1713 2081 2927 6243 8781 1188251 1671317 3564753 5013951 6091087 18273261 3478010677 10434032031