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1000211110020 = 223255556728389
BaseRepresentation
bin11101000111000010011…
…10100101100010000100
310112121201102122220222200
432203201032211202010
5112341413021010040
62043253551154500
7132156110105103
oct16434116454204
93477642586880
101000211110020
11356207106a91
12141a20815a30
137341cc42a05
14365a64bc03a
151b040067630
hexe8e13a5884

1000211110020 has 36 divisors (see below), whose sum is σ = 3033973700940. Its totient is φ = 266722962624.

The previous prime is 1000211110001. The next prime is 1000211110021. The reversal of 1000211110020 is 200111120001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 745583894784 + 254627215236 = 863472^2 + 504606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000211109984 and 1000211110011.

It is not an unprimeable number, because it can be changed into a prime (1000211110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2778364015 + ... + 2778364374.

Almost surely, 21000211110020 is an apocalyptic number.

1000211110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000211110020 is an abundant number, since it is smaller than the sum of its proper divisors (2033762590920).

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

1000211110020 is a wasteful number, since it uses less digits than its factorization.

1000211110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556728404 (or 5556728399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000211110020 its reverse (200111120001), we get a palindrome (1200322230021).

The spelling of 1000211110020 in words is "one trillion, two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5556728389 11113456778 16670185167 22226913556 27783641945 33340370334 50010555501 55567283890 66680740668 83350925835 100021111002 111134567780 166701851670 200042222004 250052777505 333403703340 500105555010 1000211110020