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11000010100985 = 51743157112916979
BaseRepresentation
bin1010000000010010001110…
…1100011101000011111001
31102221120221121122212020222
42200010203230131003321
52420211010041212420
635221200200025425
72213503335063263
oct240044354350371
942846847585228
1011000010100985
113561094a28a34
121297a61162275
1361a3b154c879
142a0590a44b33
15141207502225
hexa0123b1d0f9

11000010100985 has 64 divisors (see below), whose sum is σ = 14406206918400. Its totient is φ = 8030627684352.

The previous prime is 11000010100979. The next prime is 11000010100991. The reversal of 11000010100985 is 58900101000011.

It is an interprime number because it is at equal distance from previous prime (11000010100979) and next prime (11000010100991).

It is a cyclic number.

It is not a de Polignac number, because 11000010100985 - 26 = 11000010100921 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 647851226 + ... + 647868204.

It is an arithmetic number, because the mean of its divisors is an integer number (225096983100).

Almost surely, 211000010100985 is an apocalyptic number.

It is an amenable number.

11000010100985 is a deficient number, since it is larger than the sum of its proper divisors (3406196817415).

11000010100985 is a wasteful number, since it uses less digits than its factorization.

11000010100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18330.

The product of its (nonzero) digits is 360, while the sum is 26.

Adding to 11000010100985 its reverse (58900101000011), we get a palindrome (69900111100996).

The spelling of 11000010100985 in words is "eleven trillion, ten million, one hundred thousand, nine hundred eighty-five".

Divisors: 1 5 17 43 85 157 215 731 785 1129 2669 3655 5645 6751 13345 16979 19193 33755 48547 84895 95965 114767 177253 242735 288643 573835 730097 825299 886265 1443215 2665703 3013301 3650485 4126495 7621879 12411649 13328515 15066505 19169291 38109395 45316951 62058245 95846455 114625229 129571943 226584755 325877947 573126145 647859715 824279513 1629389735 1948628893 3009578687 4121397565 9743144465 14012751721 15047893435 51162837679 70063758605 129411883541 255814188395 647059417705 2200002020197 11000010100985