Search a number
-
+
1011441402213 = 31124169919721
BaseRepresentation
bin11101011011111101001…
…10110000000101100101
310120200201002102212201120
432231332212300011211
5113032412444332323
62052352203244153
7133034314031544
oct16557646600545
93520632385646
101011441402213
1135aa4a337800
12144035819659
13744bc79c618
1436d4dbb815b
151b49ae465e3
hexeb7e9b0165

1011441402213 has 48 divisors (see below), whose sum is σ = 1518860749056. Its totient is φ = 597896640000.

The previous prime is 1011441402113. The next prime is 1011441402239. The reversal of 1011441402213 is 3122041441101.

It is a happy number.

It is not a de Polignac number, because 1011441402213 - 29 = 1011441401701 is a prime.

It is a super-2 number, since 2×10114414022132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011441402113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104042193 + ... + 104051913.

It is an arithmetic number, because the mean of its divisors is an integer number (31642932272).

Almost surely, 21011441402213 is an apocalyptic number.

It is an amenable number.

1011441402213 is a deficient number, since it is larger than the sum of its proper divisors (507419346843).

1011441402213 is a wasteful number, since it uses less digits than its factorization.

1011441402213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16778 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1011441402213 its reverse (3122041441101), we get a palindrome (4133482843314).

The spelling of 1011441402213 in words is "one trillion, eleven billion, four hundred forty-one million, four hundred two thousand, two hundred thirteen".

Divisors: 1 3 11 33 41 121 123 363 451 1353 4961 6991 9721 14883 20973 29163 76901 106931 230703 286631 320793 398561 845911 859893 1176241 1195683 2537733 3152941 3528723 4384171 9458823 13152513 34682351 48225881 67959511 104047053 144677643 203878533 747554621 2242663863 2786339951 8223100831 8359019853 24669302493 30649739461 91949218383 337147134071 1011441402213