Search a number
-
+
1020312101017 = 11653673211063
BaseRepresentation
bin11101101100011110101…
…01110010000010011001
310121112121022020001211201
432312033111302002121
5113204044344213032
62100420325154201
7133500166522306
oct16661725620231
93545538201751
101020312101017
11363791644040
121458b055b961
13752a451a221
1437551d720ad
151b819ad18e7
hexed8f572099

1020312101017 has 16 divisors (see below), whose sum is σ = 1116434003328. Its totient is φ = 924755489280.

The previous prime is 1020312101009. The next prime is 1020312101027. The reversal of 1020312101017 is 7101012130201.

It is a cyclic number.

It is not a de Polignac number, because 1020312101017 - 23 = 1020312101009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020312100985 and 1020312101003.

It is not an unprimeable number, because it can be changed into a prime (1020312101027) 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, 4728628 + ... + 4939690.

It is an arithmetic number, because the mean of its divisors is an integer number (69777125208).

Almost surely, 21020312101017 is an apocalyptic number.

It is an amenable number.

1020312101017 is a deficient number, since it is larger than the sum of its proper divisors (96121902311).

1020312101017 is a wasteful number, since it uses less digits than its factorization.

1020312101017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212400.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 1020312101017 its reverse (7101012130201), we get a palindrome (8121324231218).

The spelling of 1020312101017 in words is "one trillion, twenty billion, three hundred twelve million, one hundred one thousand, seventeen".

Divisors: 1 11 653 673 7183 7403 211063 439469 2321693 4834159 137824139 142045399 1516065529 1562499389 92755645547 1020312101017