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10099109437 = 172920485009
BaseRepresentation
bin10010110011111010…
…00010111000111101
3222001211020220201021
421121331002320331
5131140333000222
64350042544141
7505160004514
oct113175027075
928054226637
1010099109437
11431275843a
121b5a208051
13c4c3ab801
146bb3a167b
153e1938ac7
hex259f42e3d

10099109437 has 8 divisors (see below), whose sum is σ = 11061905400. Its totient is φ = 9177283584.

The previous prime is 10099109429. The next prime is 10099109467. The reversal of 10099109437 is 73490199001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3301766521 + 6797342916 = 57461^2 + 82446^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10099109437 - 23 = 10099109429 is a prime.

It is a super-2 number, since 2×100991094372 (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 = 10099109393 and 10099109402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099109407) 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 7 ways as a sum of consecutive naturals, for example, 10242012 + ... + 10242997.

It is an arithmetic number, because the mean of its divisors is an integer number (1382738175).

Almost surely, 210099109437 is an apocalyptic number.

10099109437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10099109437 is a deficient number, since it is larger than the sum of its proper divisors (962795963).

10099109437 is a wasteful number, since it uses less digits than its factorization.

10099109437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20485055.

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 10099109437 in words is "ten billion, ninety-nine million, one hundred nine thousand, four hundred thirty-seven".

Divisors: 1 17 29 493 20485009 348245153 594065261 10099109437