Search a number
-
+
11121003110320 = 245139012538879
BaseRepresentation
bin1010000111010100111101…
…1100001001111110110000
31110101011020211100120110221
42201311033130021332300
52424201303244012240
635352530204102424
72225315552512525
oct241651734117660
943334224316427
1011121003110320
1135a8433371724
1212b73a9534a14
1362892439720c
142a638bbd914c
15144439757a4a
hexa1d4f709fb0

11121003110320 has 20 divisors (see below), whose sum is σ = 25856332231680. Its totient is φ = 4448401244096.

The previous prime is 11121003110311. The next prime is 11121003110351. The reversal of 11121003110320 is 2301130012111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×111210031103202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11121003110294 and 11121003110303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69506269360 + ... + 69506269519.

It is an arithmetic number, because the mean of its divisors is an integer number (1292816611584).

Almost surely, 211121003110320 is an apocalyptic number.

11121003110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121003110320 is an abundant number, since it is smaller than the sum of its proper divisors (14735329121360).

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

11121003110320 is a wasteful number, since it uses less digits than its factorization.

11121003110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139012538892 (or 139012538886 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11121003110320 its reverse (2301130012111), we get a palindrome (13422133122431).

The spelling of 11121003110320 in words is "eleven trillion, one hundred twenty-one billion, three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139012538879 278025077758 556050155516 695062694395 1112100311032 1390125388790 2224200622064 2780250777580 5560501555160 11121003110320