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1143401100 = 223527015437
BaseRepresentation
bin100010000100110…
…1110101010001100
32221200111210102220
41010021232222030
54320202313400
6305243015340
740222514622
oct10411565214
92850453386
101143401100
11537469196
1227ab0a550
13152b685ca
14abbd9512
156a5aa7a0
hex4426ea8c

1143401100 has 72 divisors (see below), whose sum is σ = 3313569168. Its totient is φ = 304416000.

The previous prime is 1143401053. The next prime is 1143401131. The reversal of 1143401100 is 11043411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1143401100.

It is an unprimeable number.

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, 207582 + ... + 213018.

It is an arithmetic number, because the mean of its divisors is an integer number (46021794).

Almost surely, 21143401100 is an apocalyptic number.

1143401100 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 1143401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656784584).

1143401100 is an abundant number, since it is smaller than the sum of its proper divisors (2170168068).

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

1143401100 is a wasteful number, since it uses less digits than its factorization.

1143401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1143401100 is about 33814.2144667002. The cubic root of 1143401100 is about 1045.6817662961.

Adding to 1143401100 its reverse (11043411), we get a palindrome (1154444511).

It can be divided in two parts, 114340 and 1100, that added together give a triangular number (115440 = T480).

The spelling of 1143401100 in words is "one billion, one hundred forty-three million, four hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 701 1402 2103 2804 3505 4206 5437 7010 8412 10515 10874 14020 16311 17525 21030 21748 27185 32622 35050 42060 52575 54370 65244 70100 81555 105150 108740 135925 163110 210300 271850 326220 407775 543700 815550 1631100 3811337 7622674 11434011 15245348 19056685 22868022 38113370 45736044 57170055 76226740 95283425 114340110 190566850 228680220 285850275 381133700 571700550 1143401100