Search a number
-
+
11200010212000 = 25533190322663
BaseRepresentation
bin1010001011111011010010…
…1000010101001010100000
31110122201011222011012001001
42202332310220111022200
52432000110103241000
635453114052321344
72234113460012041
oct242766450251240
943581158135031
1011200010212000
113628996865585
12130a778913254
136332058aa41c
142aa124b548c8
1514651099946a
hexa2fb4a152a0

11200010212000 has 96 divisors (see below), whose sum is σ = 28406116537344. Its totient is φ = 4335487776000.

The previous prime is 11200010211959. The next prime is 11200010212003. The reversal of 11200010212000 is 21201000211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11200010212003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45037332 + ... + 45285331.

It is an arithmetic number, because the mean of its divisors is an integer number (295897047264).

Almost surely, 211200010212000 is an apocalyptic number.

11200010212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200010212000 is an abundant number, since it is smaller than the sum of its proper divisors (17206106325344).

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

11200010212000 is an equidigital number, since it uses as much as digits as its factorization.

11200010212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90322719 (or 90322701 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200010212000 its reverse (21201000211), we get a palindrome (11221211212211).

The spelling of 11200010212000 in words is "eleven trillion, two hundred billion, ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 31000 62000 124000 90322663 180645326 361290652 451613315 722581304 903226630 1445162608 1806453260 2258066575 2800002553 2890325216 3612906520 4516133150 5600005106 7225813040 9032266300 11200010212 11290332875 14000012765 14451626080 18064532600 22400020424 22580665750 28000025530 36129065200 44800040848 45161331500 56000051060 70000063825 72258130400 89600081696 90322663000 112000102120 140000127650 180645326000 224000204240 280000255300 350000319125 361290652000 448000408480 560000510600 700000638250 1120001021200 1400001276500 2240002042400 2800002553000 5600005106000 11200010212000