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1010111051005 = 57273137412249
BaseRepresentation
bin11101011001011110100…
…11110111010011111101
310120120021101011000221121
432230233103313103331
5113022201412113010
62052012201230541
7132656331160600
oct16545723672375
93516241130847
101010111051005
1135a42739a1a1
12143924192451
1374339c98864
1436c65236337
151b41e25d3da
hexeb2f4f74fd

1010111051005 has 48 divisors (see below), whose sum is σ = 1439784774000. Its totient is φ = 678171045888.

The previous prime is 1010111050997. The next prime is 1010111051041. The reversal of 1010111051005 is 5001501110101.

It can be written as a sum of positive squares in 8 ways, for example, as 111335001561 + 898776049444 = 333669^2 + 948038^2 .

It is not a de Polignac number, because 1010111051005 - 23 = 1010111050997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010111051005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244121 + ... + 2656369.

It is an arithmetic number, because the mean of its divisors is an integer number (29995516125).

Almost surely, 21010111051005 is an apocalyptic number.

It is an amenable number.

1010111051005 is a deficient number, since it is larger than the sum of its proper divisors (429673722995).

1010111051005 is a wasteful number, since it uses less digits than its factorization.

1010111051005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412478 (or 412471 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 1010111051005 its reverse (5001501110101), we get a palindrome (6011612161106).

The spelling of 1010111051005 in words is "one trillion, ten billion, one hundred eleven million, fifty-one thousand, five".

Divisors: 1 5 7 35 49 73 137 245 365 511 685 959 2555 3577 4795 6713 10001 17885 33565 50005 70007 350035 412249 490049 2061245 2450245 2885743 14428715 20200201 30094177 56478113 101001005 150470885 210659239 282390565 395346791 1053296195 1474614673 1976733955 2767427537 4122902249 7373073365 13837137685 20614511245 28860315743 144301578715 202022210201 1010111051005