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1141310000 = 2454611871
BaseRepresentation
bin100010000000111…
…0000001000110000
32221112120112222202
41010001300020300
54314133410000
6305130122332
740165655255
oct10401601060
92845515882
101141310000
11536270106
1227a2803a8
131525b587c
14ab81342c
156a2e5dd5
hex44070230

1141310000 has 100 divisors (see below), whose sum is σ = 2810025504. Its totient is φ = 448800000.

The previous prime is 1141309987. The next prime is 1141310033. The reversal of 1141310000 is 131411.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×11413100002 = 2605177032200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 609065 + ... + 610935.

Almost surely, 21141310000 is an apocalyptic number.

1141310000 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 1141310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405012752).

1141310000 is an abundant number, since it is smaller than the sum of its proper divisors (1668715504).

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

1141310000 is an equidigital number, since it uses as much as digits as its factorization.

1141310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1141310000 is about 33783.2798881340. The cubic root of 1141310000 is about 1045.0439150367.

Adding to 1141310000 its reverse (131411), we get a palindrome (1141441411).

The spelling of 1141310000 in words is "one billion, one hundred forty-one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 976 1000 1220 1250 1525 1871 2000 2440 2500 3050 3742 4880 5000 6100 7484 7625 9355 10000 12200 14968 15250 18710 24400 29936 30500 37420 38125 46775 61000 74840 76250 93550 114131 122000 149680 152500 187100 228262 233875 305000 374200 456524 467750 570655 610000 748400 913048 935500 1141310 1169375 1826096 1871000 2282620 2338750 2853275 3742000 4565240 4677500 5706550 9130480 9355000 11413100 14266375 18710000 22826200 28532750 45652400 57065500 71331875 114131000 142663750 228262000 285327500 570655000 1141310000