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1111314000 = 24353238053
BaseRepresentation
bin100001000111101…
…0100111001010000
32212110010121012210
41002033110321100
54233444022000
6302135152120
736353004336
oct10217247120
92773117183
101111314000
11520342725
12270215640
13149312664
14a7845b56
156786d350
hex423d4e50

1111314000 has 160 divisors (see below), whose sum is σ = 3739117824. Its totient is φ = 283430400.

The previous prime is 1111313999. The next prime is 1111314007. The reversal of 1111314000 is 4131111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111314007) 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 31 ways as a sum of consecutive naturals, for example, 133974 + ... + 142026.

Almost surely, 21111314000 is an apocalyptic number.

1111314000 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 1111314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869558912).

1111314000 is an abundant number, since it is smaller than the sum of its proper divisors (2627803824).

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

1111314000 is a wasteful number, since it uses less digits than its factorization.

1111314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8086 counting only the distinct ones).

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

The square root of 1111314000 is about 33336.3765277512. The cubic root of 1111314000 is about 1035.8072071096.

Adding to 1111314000 its reverse (4131111), we get a palindrome (1115445111).

The spelling of 1111314000 in words is "one billion, one hundred eleven million, three hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8053 8625 9200 11500 13800 16106 17250 23000 24159 27600 32212 34500 40265 46000 48318 64424 69000 80530 96636 120795 128848 138000 161060 185219 193272 201325 241590 322120 370438 386544 402650 483180 555657 603975 644240 740876 805300 926095 966360 1006625 1111314 1207950 1481752 1610600 1852190 1932720 2013250 2222628 2415900 2778285 2963504 3019875 3221200 3704380 4026500 4445256 4630475 4831800 5556570 6039750 7408760 8053000 8890512 9260950 9663600 11113140 12079500 13891425 14817520 16106000 18521900 22226280 23152375 24159000 27782850 37043800 44452560 46304750 48318000 55565700 69457125 74087600 92609500 111131400 138914250 185219000 222262800 277828500 370438000 555657000 1111314000