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11001020000 = 2554563977
BaseRepresentation
bin10100011111011011…
…00011111001100000
31001101200100201102012
422033231203321200
5140012230120000
65015342012052
7536421061415
oct121755437140
931350321365
1011001020000
114735875173
122170277028
1310641c39b9
1476509810c
15445be1735
hex28fb63e60

11001020000 has 120 divisors (see below), whose sum is σ = 27139981176. Its totient is φ = 4388096000.

The previous prime is 11001019999. The next prime is 11001020021. The reversal of 11001020000 is 2010011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11259512 + ... + 11260488.

Almost surely, 211001020000 is an apocalyptic number.

11001020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569990588).

11001020000 is an abundant number, since it is smaller than the sum of its proper divisors (16138961176).

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

11001020000 is an frugal number, since it uses more digits than its factorization.

11001020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11001020000 its reverse (2010011), we get a palindrome (11003030011).

The spelling of 11001020000 in words is "eleven billion, one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 563 625 800 977 1000 1126 1250 1954 2000 2252 2500 2815 3908 4000 4504 4885 5000 5630 7816 9008 9770 10000 11260 14075 15632 18016 19540 20000 22520 24425 28150 31264 39080 45040 48850 56300 70375 78160 90080 97700 112600 122125 140750 156320 195400 225200 244250 281500 351875 390800 450400 488500 550051 563000 610625 703750 781600 977000 1100102 1126000 1221250 1407500 1954000 2200204 2252000 2442500 2750255 2815000 3908000 4400408 4885000 5500510 5630000 8800816 9770000 11001020 11260000 13751275 17601632 19540000 22002040 27502550 44004080 55005100 68756375 88008160 110010200 137512750 220020400 275025500 343781875 440040800 550051000 687563750 1100102000 1375127500 2200204000 2750255000 5500510000 11001020000