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1010220041331 = 32292883151153
BaseRepresentation
bin11101011001101011100…
…11101000010001110011
310120120112222020022120100
432230311303220101303
5113022412312310311
62052031053243443
7132662123445624
oct16546563502163
93516488208510
101010220041331
1135a482971246
12143954793583
1374356739487
1436c758c7a4b
151b428adba56
hexeb35ce8473

1010220041331 has 36 divisors (see below), whose sum is σ = 1512980799928. Its totient is φ = 649515863808.

The previous prime is 1010220041329. The next prime is 1010220041353. The reversal of 1010220041331 is 1331400220101.

1010220041331 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 220 + 0 + 413 + 31 = 666.

It is not a de Polignac number, because 1010220041331 - 21 = 1010220041329 is a prime.

It is a super-2 number, since 2×10102200413312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010220046331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6607851 + ... + 6759003.

Almost surely, 21010220041331 is an apocalyptic number.

1010220041331 is a deficient number, since it is larger than the sum of its proper divisors (502760758597).

1010220041331 is a wasteful number, since it uses less digits than its factorization.

1010220041331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152100 (or 152068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010220041331 its reverse (1331400220101), we get a palindrome (2341620261432).

The spelling of 1010220041331 in words is "one trillion, ten billion, two hundred twenty million, forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 29 87 261 841 883 2523 2649 7569 7947 25607 76821 151153 230463 453459 742603 1360377 2227809 4383437 6683427 13150311 39450933 127119673 133468099 381359019 400404297 1144077057 1201212891 3870574871 11611724613 34835173839 112246671259 336740013777 1010220041331