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1021332131010 = 232511348134789
BaseRepresentation
bin11101101110011000010…
…00111000110011000010
310121122020101120221221100
432313030020320303002
5113213142011143020
62101105444035230
7133534363605552
oct16671410706302
93548211527840
101021332131010
113641653a8734
12145b36092b16
137540794b379
143760b615162
151b87941ca90
hexedcc238cc2

1021332131010 has 24 divisors (see below), whose sum is σ = 2655463540860. Its totient is φ = 272355234912.

The previous prime is 1021332130993. The next prime is 1021332131023. The reversal of 1021332131010 is 101312331201.

1021332131010 is a `hidden beast` number, since 1 + 0 + 21 + 3 + 321 + 310 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 861126464961 + 160205666049 = 927969^2 + 400257^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 5674067305 + ... + 5674067484.

Almost surely, 21021332131010 is an apocalyptic number.

1021332131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021332131010 is an abundant number, since it is smaller than the sum of its proper divisors (1634131409850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021332131010 is a wasteful number, since it uses less digits than its factorization.

1021332131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348134802 (or 11348134799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1021332131010 its reverse (101312331201), we get a palindrome (1122644462211).

The spelling of 1021332131010 in words is "one trillion, twenty-one billion, three hundred thirty-two million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11348134789 22696269578 34044404367 56740673945 68088808734 102133213101 113481347890 170222021835 204266426202 340444043670 510666065505 1021332131010