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20101110000 = 24354670037
BaseRepresentation
bin10010101110000111…
…101001100011110000
31220212212210012002120
4102232013221203300
5312131341010000
613122340314240
71311060421146
oct225607514360
956785705076
1020101110000
118585609504
123a8b9a2980
131b8461973a
14d898c5596
157c9a8e6a0
hex4ae1e98f0

20101110000 has 100 divisors (see below), whose sum is σ = 64889160072. Its totient is φ = 5360288000.

The previous prime is 20101109971. The next prime is 20101110011. The reversal of 20101110000 is 1110102.

It is a tau number, because it is divible by the number of its divisors (100).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 305019 + ... + 365018.

Almost surely, 220101110000 is an apocalyptic number.

20101110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101110000 is an abundant number, since it is smaller than the sum of its proper divisors (44788050072).

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

20101110000 is an equidigital number, since it uses as much as digits as its factorization.

20101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670068 (or 670047 counting only the distinct ones).

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

Adding to 20101110000 its reverse (1110102), we get a palindrome (20102220102).

The spelling of 20101110000 in words is "twenty billion, one hundred one million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 670037 1340074 2010111 2680148 3350185 4020222 5360296 6700370 8040444 10050555 10720592 13400740 16080888 16750925 20101110 26801480 32161776 33501850 40202220 50252775 53602960 67003700 80404440 83754625 100505550 134007400 160808880 167509250 201011100 251263875 268014800 335018500 402022200 418773125 502527750 670037000 804044400 837546250 1005055500 1256319375 1340074000 1675092500 2010111000 2512638750 3350185000 4020222000 5025277500 6700370000 10050555000 20101110000