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11111020201000 = 2353101110010101
BaseRepresentation
bin1010000110101111110001…
…1010011000010000101000
31110100012111002202020100201
42201223330122120100220
52424020332132413000
635344155431441544
72224513303261606
oct241537432302050
943305432666321
1011111020201000
1135a4180270145
1212b54822262b4
136279c30b1b95
142a5ac2044876
1514405312396a
hexa1afc698428

11111020201000 has 64 divisors (see below), whose sum is σ = 26257211145360. Its totient is φ = 4400404000000.

The previous prime is 11111020200997. The next prime is 11111020201019. The reversal of 11111020201000 is 10202011111.

It can be written as a sum of positive squares in 8 ways, for example, as 200537378596 + 10910482822404 = 447814^2 + 3303102^2 .

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54904051 + ... + 55106050.

Almost surely, 211111020201000 is an apocalyptic number.

11111020201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111020201000 is an abundant number, since it is smaller than the sum of its proper divisors (15146190944360).

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

11111020201000 is a wasteful number, since it uses less digits than its factorization.

11111020201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110010223 (or 110010209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11111020201000 its reverse (10202011111), we get a palindrome (11121222212111).

The spelling of 11111020201000 in words is "eleven trillion, one hundred eleven billion, twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 110010101 220020202 440040404 550050505 880080808 1100101010 2200202020 2750252525 4400404040 5500505050 11001010100 11111020201 13751262625 22002020200 22222040402 27502525250 44444080804 55005050500 55555101005 88888161608 110010101000 111110202010 222220404020 277775505025 444440808040 555551010050 1111102020100 1388877525125 2222204040200 2777755050250 5555510100500 11111020201000