Search a number
-
+
11110020000 = 25354185167
BaseRepresentation
bin10100101100011010…
…10111001110100000
31001200021110111022020
422112031113032200
5140223131120000
65034234141440
7542213416602
oct122615271640
931607414266
1011110020000
114791353512
1221a0881880
131080968b41
1477574d172
15450572ba0
hex2963573a0

11110020000 has 120 divisors (see below), whose sum is σ = 36443284416. Its totient is φ = 2962656000.

The previous prime is 11110019927. The next prime is 11110020017. The reversal of 11110020000 is 2001111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32584 + ... + 152583.

Almost surely, 211110020000 is an apocalyptic number.

11110020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221642208).

11110020000 is an abundant number, since it is smaller than the sum of its proper divisors (25333264416).

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

11110020000 is an equidigital number, since it uses as much as digits as its factorization.

11110020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185200 (or 185177 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11110020000 its reverse (2001111), we get a palindrome (11112021111).

It can be divided in two parts, 11 and 110020000, that added together give a palindrome (110020011).

The spelling of 11110020000 in words is "eleven billion, one hundred ten million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 185167 370334 555501 740668 925835 1111002 1481336 1851670 2222004 2777505 2962672 3703340 4444008 4629175 5555010 5925344 7406680 8888016 9258350 11110020 13887525 14813360 17776032 18516700 22220040 23145875 27775050 29626720 37033400 44440080 46291750 55550100 69437625 74066800 88880160 92583500 111100200 115729375 138875250 148133600 185167000 222200400 231458750 277750500 347188125 370334000 444400800 462917500 555501000 694376250 740668000 925835000 1111002000 1388752500 1851670000 2222004000 2777505000 3703340000 5555010000 11110020000