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11277342000 = 243253626519
BaseRepresentation
bin10101000000010111…
…01001010100110000
31002002221022022221100
422200023221110300
5141043444421000
65103012324400
7546314553051
oct124013512460
932087268840
1011277342000
114867846a61
122228913700
1310a9521242
1478da66728
154600c4a00
hex2a02e9530

11277342000 has 120 divisors (see below), whose sum is σ = 39388059360. Its totient is φ = 3007286400.

The previous prime is 11277341993. The next prime is 11277342007. The reversal of 11277342000 is 24377211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11277341993) and next prime (11277342007).

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

It is not an unprimeable number, because it can be changed into a prime (11277342007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295260 + ... + 331259.

It is an arithmetic number, because the mean of its divisors is an integer number (328233828).

Almost surely, 211277342000 is an apocalyptic number.

11277342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11277342000 is an abundant number, since it is smaller than the sum of its proper divisors (28110717360).

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

11277342000 is a wasteful number, since it uses less digits than its factorization.

11277342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626548 (or 626529 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 11277342000 in words is "eleven billion, two hundred seventy-seven million, three hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 626519 1253038 1879557 2506076 3132595 3759114 5012152 5638671 6265190 7518228 9397785 10024304 11277342 12530380 15036456 15662975 18795570 22554684 25060760 28193355 30072912 31325950 37591140 45109368 46988925 50121520 56386710 62651900 75182280 78314875 90218736 93977850 112773420 125303800 140966775 150364560 156629750 187955700 225546840 234944625 250607600 281933550 313259500 375911400 451093680 469889250 563867100 626519000 704833875 751822800 939778500 1127734200 1253038000 1409667750 1879557000 2255468400 2819335500 3759114000 5638671000 11277342000