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1001012220100 = 225239097256033
BaseRepresentation
bin11101001000100001111…
…10100101000011000100
310112200210021002112102101
432210100332211003010
5112400033112020400
62043505245521444
7132215005324024
oct16442076450304
93480707075371
101001012220100
11356588335932
12142004b73284
1373519bc3c49
1436640a55a84
151b08a55d56a
hexe910fa50c4

1001012220100 has 36 divisors (see below), whose sum is σ = 2172260561044. Its totient is φ = 400393082880.

The previous prime is 1001012220083. The next prime is 1001012220139. The reversal of 1001012220100 is 10222101001.

It can be written as a sum of positive squares in 6 ways, for example, as 264714366016 + 736297854084 = 514504^2 + 858078^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 3781684 + ... + 4037716.

Almost surely, 21001012220100 is an apocalyptic number.

1001012220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012220100 is an abundant number, since it is smaller than the sum of its proper divisors (1171248340944).

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

1001012220100 is a wasteful number, since it uses less digits than its factorization.

1001012220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295144 (or 295137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001012220100 its reverse (10222101001), we get a palindrome (1011234321101).

The spelling of 1001012220100 in words is "one trillion, one billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 39097 78194 156388 195485 256033 390970 512066 781940 977425 1024132 1280165 1954850 2560330 3909700 5120660 6400825 12801650 25603300 10010122201 20020244402 40040488804 50050611005 100101222010 200202444020 250253055025 500506110050 1001012220100