Search a number
-
+
1100430100 = 2252711241593
BaseRepresentation
bin100000110010111…
…0011101100010100
32211200122122022101
41001211303230110
54223202230400
6301110011444
736161334010
oct10145635424
92750578271
101100430100
11515189470
12268646b84
13146ca1693
14a6211540
156691d56a
hex41973b14

1100430100 has 144 divisors (see below), whose sum is σ = 2994558336. Its totient is φ = 340992000.

The previous prime is 1100430083. The next prime is 1100430103. The reversal of 1100430100 is 10340011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100430103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1855404 + ... + 1855996.

It is an arithmetic number, because the mean of its divisors is an integer number (20795544).

Almost surely, 21100430100 is an apocalyptic number.

1100430100 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 1100430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497279168).

1100430100 is an abundant number, since it is smaller than the sum of its proper divisors (1894128236).

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

1100430100 is a wasteful number, since it uses less digits than its factorization.

1100430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100430100 is about 33172.7312713319. The cubic root of 1100430100 is about 1032.4146384334.

Adding to 1100430100 its reverse (10340011), we get a palindrome (1110770111).

The spelling of 1100430100 in words is "one billion, one hundred million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 241 275 308 350 385 482 550 593 700 770 964 1100 1186 1205 1540 1687 1925 2372 2410 2651 2965 3374 3850 4151 4820 5302 5930 6025 6523 6748 7700 8302 8435 10604 11860 12050 13046 13255 14825 16604 16870 18557 20755 24100 26092 26510 29650 32615 33740 37114 41510 42175 45661 53020 59300 65230 66275 74228 83020 84350 91322 92785 103775 130460 132550 142913 163075 168700 182644 185570 207550 228305 265100 285826 326150 371140 415100 456610 463925 571652 652300 714565 913220 927850 1000391 1141525 1429130 1572043 1855700 2000782 2283050 2858260 3144086 3572825 4001564 4566100 5001955 6288172 7145650 7860215 10003910 11004301 14291300 15720430 20007820 22008602 25009775 31440860 39301075 44017204 50019550 55021505 78602150 100039100 110043010 157204300 220086020 275107525 550215050 1100430100