Search a number
-
+
1011440200001 = 7111710312759069
BaseRepresentation
bin11101011011111101000…
…10001010100101000001
310120200201000011210121012
432231332202022211001
5113032412142400001
62052352121410305
7133034300563550
oct16557642124501
93520630153535
101011440200001
1135aa49696540
12144035339995
13744bc46b35a
1436d4d983d97
151b49acaa2bb
hexeb7e88a941

1011440200001 has 64 divisors (see below), whose sum is σ = 1358795243520. Its totient is φ = 728776258560.

The previous prime is 1011440199923. The next prime is 1011440200007. The reversal of 1011440200001 is 1000020441101.

1011440200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011440200001 - 214 = 1011440183617 is a prime.

It is a super-2 number, since 2×10114402000012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011440200007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17093495 + ... + 17152563.

It is an arithmetic number, because the mean of its divisors is an integer number (21231175680).

Almost surely, 21011440200001 is an apocalyptic number.

1011440200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011440200001 is a deficient number, since it is larger than the sum of its proper divisors (347355043519).

1011440200001 is a wasteful number, since it uses less digits than its factorization.

1011440200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59334.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1011440200001 its reverse (1000020441101), we get a palindrome (2011460641102).

The spelling of 1011440200001 in words is "one trillion, eleven billion, four hundred forty million, two hundred thousand, one".

Divisors: 1 7 11 17 77 103 119 127 187 721 889 1133 1309 1397 1751 2159 7931 9779 12257 13081 15113 19261 23749 59069 91567 134827 143891 166243 222377 413483 649759 1004173 1007237 1556639 2446147 4548313 6084107 7029211 7501763 11045903 17123029 42588749 52512341 66925177 77321321 82519393 103429819 127529971 468476239 577635751 724008733 772681589 892709797 1137728009 1402829681 5408771123 7964096063 8499497479 9819807767 13135587013 59496482353 91949109091 144491457143 1011440200001