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1144130100 = 223528345949
BaseRepresentation
bin100010000110010…
…0000101000110100
32221201212211102220
41010030200220310
54320344130400
6305310402340
740231642161
oct10414405064
92851784386
101144130100
11537916973
1227b2003b0
13153062379
14abd49068
156a6a17a0
hex44320a34

1144130100 has 72 divisors (see below), whose sum is σ = 3350306400. Its totient is φ = 301418880.

The previous prime is 1144130093. The next prime is 1144130131. The reversal of 1144130100 is 10314411.

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 1144130100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926 + ... + 47874.

Almost surely, 21144130100 is an apocalyptic number.

1144130100 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 1144130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675153200).

1144130100 is an abundant number, since it is smaller than the sum of its proper divisors (2206176300).

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

1144130100 is a wasteful number, since it uses less digits than its factorization.

1144130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46049 (or 46042 counting only the distinct ones).

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

The square root of 1144130100 is about 33824.9922394670. The cubic root of 1144130100 is about 1045.9039513945.

Adding to 1144130100 its reverse (10314411), we get a palindrome (1154444511).

The spelling of 1144130100 in words is "one billion, one hundred forty-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 45949 91898 137847 183796 229745 275694 459490 551388 689235 918980 1148725 1378470 2297450 2756940 3446175 3813767 4594900 6892350 7627534 11441301 13784700 15255068 19068835 22882602 38137670 45765204 57206505 76275340 95344175 114413010 190688350 228826020 286032525 381376700 572065050 1144130100