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1001100020010 = 2351033011107599
BaseRepresentation
bin11101001000101100011…
…01100000100100101010
310112201000101022020020220
432210112031200210222
5112400223101120020
62043522103430510
7132220122524316
oct16442615404452
93481011266226
101001100020010
11356622954242
1214202a455436
137353215565c
143664c58cb46
151b093103240
hexe91636092a

1001100020010 has 64 divisors (see below), whose sum is σ = 2426794905600. Its totient is φ = 264277903680.

The previous prime is 1001100020009. The next prime is 1001100020047. The reversal of 1001100020010 is 100200011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 9250191 + ... + 9357789.

It is an arithmetic number, because the mean of its divisors is an integer number (37918670400).

Almost surely, 21001100020010 is an apocalyptic number.

1001100020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001100020010 is an abundant number, since it is smaller than the sum of its proper divisors (1425694885590).

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

1001100020010 is a wasteful number, since it uses less digits than its factorization.

1001100020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110723.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001100020010 its reverse (100200011001), we get a palindrome (1101300031011).

Subtracting from 1001100020010 its reverse (100200011001), we obtain a palindrome (900900009009).

The spelling of 1001100020010 in words is "one trillion, one billion, one hundred million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 103 206 309 515 618 1030 1545 3011 3090 6022 9033 15055 18066 30110 45165 90330 107599 215198 310133 322797 537995 620266 645594 930399 1075990 1550665 1613985 1860798 3101330 3227970 4651995 9303990 11082697 22165394 33248091 55413485 66496182 110826970 166240455 323980589 332480910 647961178 971941767 1619902945 1943883534 3239805890 4859708835 9719417670 33370000667 66740001334 100110002001 166850003335 200220004002 333700006670 500550010005 1001100020010