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1143010000 = 24541110391
BaseRepresentation
bin100010000100000…
…1111001011010000
32221122202220221201
41010020033023100
54320102310000
6305230400544
740216265446
oct10410171320
92848686851
101143010000
11537221370
1227a960154
13152a5c5a2
14abb36b96
156a52e96a
hex4420f2d0

1143010000 has 100 divisors (see below), whose sum is σ = 3019208544. Its totient is φ = 415600000.

The previous prime is 1143009997. The next prime is 1143010027. The reversal of 1143010000 is 103411.

It is a happy number.

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 (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104805 + ... + 115195.

Almost surely, 21143010000 is an apocalyptic number.

1143010000 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 1143010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509604272).

1143010000 is an abundant number, since it is smaller than the sum of its proper divisors (1876198544).

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

1143010000 is a wasteful number, since it uses less digits than its factorization.

1143010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1143010000 is about 33808.4309011820. The cubic root of 1143010000 is about 1045.5625276561.

Adding to 1143010000 its reverse (103411), we get a palindrome (1143113411).

The spelling of 1143010000 in words is "one billion, one hundred forty-three million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 10391 11000 13750 20782 22000 27500 41564 51955 55000 83128 103910 110000 114301 166256 207820 228602 259775 415640 457204 519550 571505 831280 914408 1039100 1143010 1298875 1828816 2078200 2286020 2597750 2857525 4156400 4572040 5195500 5715050 6494375 9144080 10391000 11430100 12988750 14287625 20782000 22860200 25977500 28575250 45720400 51955000 57150500 71438125 103910000 114301000 142876250 228602000 285752500 571505000 1143010000