Search a number
-
+
1112332004300 = 22521119233228419
BaseRepresentation
bin10000001011111100001…
…001110110101111001100
310221100010022220111100202
4100023330021312233030
5121211023443114200
62210555343113032
7143235424014566
oct20137411665714
93840108814322
101112332004300
11399812466390
1215b6b18a2778
1380b7a964c3a
143bba122a336
151de034531d5
hex102fc276bcc

1112332004300 has 144 divisors (see below), whose sum is σ = 2783690582400. Its totient is φ = 381549427200.

The previous prime is 1112332004263. The next prime is 1112332004327. The reversal of 1112332004300 is 34002332111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4755491 + ... + 4983909.

It is an arithmetic number, because the mean of its divisors is an integer number (19331184600).

Almost surely, 21112332004300 is an apocalyptic number.

1112332004300 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 1112332004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391845291200).

1112332004300 is an abundant number, since it is smaller than the sum of its proper divisors (1671358578100).

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

1112332004300 is a wasteful number, since it uses less digits than its factorization.

1112332004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228696 (or 228689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1112332004300 its reverse (34002332111), we get a palindrome (1146334336411).

The spelling of 1112332004300 in words is "one trillion, one hundred twelve billion, three hundred thirty-two million, four thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 233 275 380 418 466 475 550 836 932 950 1045 1100 1165 1900 2090 2330 2563 4180 4427 4660 5126 5225 5825 8854 10252 10450 11650 12815 17708 20900 22135 23300 25630 44270 48697 51260 64075 88540 97394 110675 128150 194788 221350 228419 243485 256300 442700 456838 486970 913676 973940 1142095 1217425 2284190 2434850 2512609 4339961 4568380 4869700 5025218 5710475 8679922 10050436 11420950 12563045 17359844 21699805 22841900 25126090 43399610 47739571 50252180 53221627 62815225 86799220 95479142 106443254 108499025 125630450 190958284 212886508 216998050 238697855 251260900 266108135 433996100 477395710 532216270 585437897 954791420 1011210913 1064432540 1170875794 1193489275 1330540675 2022421826 2341751588 2386978550 2661081350 2927189485 4044843652 4773957100 5056054565 5322162700 5854378970 10112109130 11123320043 11708757940 14635947425 20224218260 22246640086 25280272825 29271894850 44493280172 50560545650 55616600215 58543789700 101121091300 111233200430 222466400860 278083001075 556166002150 1112332004300