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20150210041 = 13172914921101
BaseRepresentation
bin10010110001000010…
…111100110111111001
31221000022011201200121
4102301002330313321
5312231423210131
613131252533241
71312224650023
oct226102746771
957008151617
1020150210041
1186002a5055
123aa4321221
131b9184b310
14d92227013
157ce03c911
hex4b10bcdf9

20150210041 has 32 divisors (see below), whose sum is σ = 23929668000. Its totient is φ = 16788172800.

The previous prime is 20150210033. The next prime is 20150210053. The reversal of 20150210041 is 14001205102.

It can be written as a sum of positive squares in 16 ways, for example, as 10126195641 + 10024014400 = 100629^2 + 100120^2 .

It is a cyclic number.

It is not a de Polignac number, because 20150210041 - 23 = 20150210033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20150209997 and 20150210024.

It is not an unprimeable number, because it can be changed into a prime (20150210071) 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 31 ways as a sum of consecutive naturals, for example, 944391 + ... + 965491.

It is an arithmetic number, because the mean of its divisors is an integer number (747802125).

Almost surely, 220150210041 is an apocalyptic number.

It is an amenable number.

20150210041 is a deficient number, since it is larger than the sum of its proper divisors (3779457959).

20150210041 is a wasteful number, since it uses less digits than its factorization.

20150210041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21309.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 20150210041 its reverse (14001205102), we get a palindrome (34151415143).

The spelling of 20150210041 in words is "twenty billion, one hundred fifty million, two hundred ten thousand, forty-one".

Divisors: 1 13 17 29 149 221 377 493 1937 2533 4321 6409 21101 32929 56173 73457 274313 358717 611929 954941 3144049 4663321 7955077 10402793 40872637 53448833 91177421 135236309 694834829 1185306473 1550016157 20150210041