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10032435131 = 172999720411
BaseRepresentation
bin10010101011111101…
…01100111110111011
3221220011210111202112
421111332230332323
5131021300411011
64335301522535
7503420202005
oct112576547673
927804714675
1010032435131
114289059004
121b3ba1344b
13c3b635964
146b25a7375
153dab6858b
hex255facfbb

10032435131 has 16 divisors (see below), whose sum is σ = 11000435040. Its totient is φ = 9107105280.

The previous prime is 10032435121. The next prime is 10032435167. The reversal of 10032435131 is 13153423001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10032435131 is a prime.

It is a super-2 number, since 2×100324351312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032435097 and 10032435106.

It is not an unprimeable number, because it can be changed into a prime (10032435121) 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 15 ways as a sum of consecutive naturals, for example, 481316 + ... + 501726.

It is an arithmetic number, because the mean of its divisors is an integer number (687527190).

Almost surely, 210032435131 is an apocalyptic number.

10032435131 is a deficient number, since it is larger than the sum of its proper divisors (967999909).

10032435131 is a wasteful number, since it uses less digits than its factorization.

10032435131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21454.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 10032435131 its reverse (13153423001), we get a palindrome (23185858132).

The spelling of 10032435131 in words is "ten billion, thirty-two million, four hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 17 29 493 997 16949 20411 28913 346987 491521 591919 10062623 20349767 345946039 590143243 10032435131