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11314110000 = 24354377137
BaseRepresentation
bin10101000100101111…
…11001111000110000
31002012111111100011010
422202113321320300
5141132403010000
65110404350520
7550242230304
oct124227717060
932174440133
1011314110000
11488657a336
1222390a5440
1310b402595b
147948b7d04
15463438d50
hex2a25f9e30

11314110000 has 100 divisors (see below), whose sum is σ = 36523552472. Its totient is φ = 3017088000.

The previous prime is 11314109981. The next prime is 11314110013. The reversal of 11314110000 is 1141311.

11314110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12).

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, 158569 + ... + 218568.

Almost surely, 211314110000 is an apocalyptic number.

11314110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314110000 is an abundant number, since it is smaller than the sum of its proper divisors (25209442472).

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

11314110000 is an equidigital number, since it uses as much as digits as its factorization.

11314110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377168 (or 377147 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11314110000 its reverse (1141311), we get a palindrome (11315251311).

The spelling of 11314110000 in words is "eleven billion, three hundred fourteen 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 377137 754274 1131411 1508548 1885685 2262822 3017096 3771370 4525644 5657055 6034192 7542740 9051288 9428425 11314110 15085480 18102576 18856850 22628220 28285275 30170960 37713700 45256440 47142125 56570550 75427400 90512880 94284250 113141100 141426375 150854800 188568500 226282200 235710625 282852750 377137000 452564400 471421250 565705500 707131875 754274000 942842500 1131411000 1414263750 1885685000 2262822000 2828527500 3771370000 5657055000 11314110000