Search a number
-
+
11230103002000 = 24535615051501
BaseRepresentation
bin1010001101101011011001…
…0011001101101110010000
31110202120212012001022100211
42203122312103031232100
52432443222332031000
635515012121253504
72236230264343501
oct243326623155620
943676765038324
1011230103002000
11363a729416063
121314576934294
13635cc026033c
142ab77b634ba8
151471c28017ba
hexa36b64cdb90

11230103002000 has 40 divisors (see below), whose sum is σ = 27154389063672. Its totient is φ = 4492041200000.

The previous prime is 11230103001989. The next prime is 11230103002051. The reversal of 11230103002000 is 20030103211.

11230103002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3557358121216 + 7672744880784 = 1886096^2 + 2769972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×112301030020002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2807523751 + ... + 2807527750.

Almost surely, 211230103002000 is an apocalyptic number.

11230103002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11230103002000 is an abundant number, since it is smaller than the sum of its proper divisors (15924286061672).

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

11230103002000 is an equidigital number, since it uses as much as digits as its factorization.

11230103002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615051524 (or 5615051508 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11230103002000 its reverse (20030103211), we get a palindrome (11250133105211).

The spelling of 11230103002000 in words is "eleven trillion, two hundred thirty billion, one hundred three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5615051501 11230103002 22460206004 28075257505 44920412008 56150515010 89840824016 112301030020 140376287525 224602060040 280752575050 449204120080 561505150100 701881437625 1123010300200 1403762875250 2246020600400 2807525750500 5615051501000 11230103002000