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1142000100 = 2233522291847
BaseRepresentation
bin100010000010001…
…1000100111100100
32221120212121122000
41010010120213210
54314323000400
6305153005300
740204561233
oct10404304744
92846777560
101142000100
115366a163a
1227a553830
13152797a07
14ab952b1a
156a3d0600
hex441189e4

1142000100 has 144 divisors (see below), whose sum is σ = 3689347200. Its totient is φ = 303039360.

The previous prime is 1142000099. The next prime is 1142000173. The reversal of 1142000100 is 10002411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 617377 + ... + 619223.

Almost surely, 21142000100 is an apocalyptic number.

1142000100 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 1142000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844673600).

1142000100 is an abundant number, since it is smaller than the sum of its proper divisors (2547347100).

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

1142000100 is a wasteful number, since it uses less digits than its factorization.

1142000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1142000100 is about 33793.4919770065. The cubic root of 1142000100 is about 1045.2545033076.

Adding to 1142000100 its reverse (10002411), we get a palindrome (1152002511).

The spelling of 1142000100 in words is "one billion, one hundred forty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 229 270 300 450 458 540 675 687 900 916 1145 1350 1374 1847 2061 2290 2700 2748 3435 3694 4122 4580 5541 5725 6183 6870 7388 8244 9235 10305 11082 11450 12366 13740 16623 17175 18470 20610 22164 22900 24732 27705 30915 33246 34350 36940 41220 46175 49869 51525 55410 61830 66492 68700 83115 92350 99738 103050 110820 123660 138525 154575 166230 184700 199476 206100 249345 277050 309150 332460 415575 422963 498690 554100 618300 831150 845926 997380 1246725 1268889 1662300 1691852 2114815 2493450 2537778 3806667 4229630 4986900 5075556 6344445 7613334 8459260 10574075 11420001 12688890 15226668 19033335 21148150 22840002 25377780 31722225 38066670 42296300 45680004 57100005 63444450 76133340 95166675 114200010 126888900 190333350 228400020 285500025 380666700 571000050 1142000100