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2111830020 = 2232511732389
BaseRepresentation
bin111110111011111…
…1111100000000100
312110011210002011200
41331313333200010
513311112030040
6545315502500
7103222154556
oct17567774004
95404702150
102111830020
11994089173
124ab2b7a30
132786a0681
141606894d6
15c5602630
hex7ddff804

2111830020 has 36 divisors (see below), whose sum is σ = 6405884940. Its totient is φ = 563154624.

The previous prime is 2111830001. The next prime is 2111830033. The reversal of 2111830020 is 200381112.

It can be written as a sum of positive squares in 2 ways, for example, as 1668559104 + 443270916 = 40848^2 + 21054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2111829975 and 2111830002.

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 11 ways as a sum of consecutive naturals, for example, 5866015 + ... + 5866374.

Almost surely, 22111830020 is an apocalyptic number.

2111830020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111830020 is an abundant number, since it is smaller than the sum of its proper divisors (4294054920).

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

2111830020 is a wasteful number, since it uses less digits than its factorization.

2111830020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732404 (or 11732399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2111830020 is about 45954.6517775948. The cubic root of 2111830020 is about 1282.9793108296.

The spelling of 2111830020 in words is "two billion, one hundred eleven million, eight hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11732389 23464778 35197167 46929556 58661945 70394334 105591501 117323890 140788668 175985835 211183002 234647780 351971670 422366004 527957505 703943340 1055915010 2111830020