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1011002020200 = 233252561667789
BaseRepresentation
bin11101011011001000110…
…10101001000101101000
310120122120110122221220200
432231210122221011220
5113031013004121300
62052240425552200
7133020400244454
oct16554432510550
93518513587820
101011002020200
1135a844313577
12143b32645660
137444c74c873
1436d0b6c1664
151b4725a4200
hexeb646a9168

1011002020200 has 72 divisors (see below), whose sum is σ = 3395281790550. Its totient is φ = 269600538240.

The previous prime is 1011002020187. The next prime is 1011002020247. The reversal of 1011002020200 is 20202001101.

It can be written as a sum of positive squares in 3 ways, for example, as 653022377604 + 357979642596 = 808098^2 + 598314^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 17 ways as a sum of consecutive naturals, for example, 280832095 + ... + 280835694.

Almost surely, 21011002020200 is an apocalyptic number.

1011002020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011002020200 is an abundant number, since it is smaller than the sum of its proper divisors (2384279770350).

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

1011002020200 is a wasteful number, since it uses less digits than its factorization.

1011002020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561667811 (or 561667799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1011002020200 its reverse (20202001101), we get a palindrome (1031204021301).

The spelling of 1011002020200 in words is "one trillion, eleven billion, two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 561667789 1123335578 1685003367 2246671156 2808338945 3370006734 4493342312 5055010101 5616677890 6740013468 8425016835 10110020202 11233355780 13480026936 14041694725 16850033670 20220040404 22466711560 25275050505 28083389450 33700067340 40440080808 42125084175 50550101010 56166778900 67400134680 84250168350 101100202020 112333557800 126375252525 168500336700 202200404040 252750505050 337000673400 505501010100 1011002020200