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1001211313300 = 2252111019011803
BaseRepresentation
bin11101001000111001101…
…10000011110010010100
310112201022010201111221121
432210130312003302110
5112400440044011200
62043541121053324
7132222643513462
oct16443466036224
93481263644847
101001211313300
1135667a759570
1214205b787244
137354c221583
143665d27d832
151b09cc88e1a
hexe91cd83c94

1001211313300 has 72 divisors (see below), whose sum is σ = 2393607236832. Its totient is φ = 360472080000.

The previous prime is 1001211313229. The next prime is 1001211313321. The reversal of 1001211313300 is 33131121001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4394802 + ... + 4617001.

It is an arithmetic number, because the mean of its divisors is an integer number (33244544956).

Almost surely, 21001211313300 is an apocalyptic number.

1001211313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001211313300 is an abundant number, since it is smaller than the sum of its proper divisors (1392395923532).

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

1001211313300 is a wasteful number, since it uses less digits than its factorization.

1001211313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011929 (or 9011922 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001211313300 its reverse (33131121001), we get a palindrome (1034342434301).

The spelling of 1001211313300 in words is "one trillion, one billion, two hundred eleven million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 9011803 18023606 36047212 45059015 90118030 99129833 180236060 198259666 225295075 396519332 450590150 495649165 901180300 910192103 991298330 1820384206 1982596660 2478245825 3640768412 4550960515 4956491650 9101921030 9912983300 10012113133 18203842060 20024226266 22754802575 40048452532 45509605150 50060565665 91019210300 100121131330 200242262660 250302828325 500605656650 1001211313300