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11030103120 = 2435349131687
BaseRepresentation
bin10100100010111001…
…00000010001010000
31001110201002021221210
422101130200101100
5140042201244440
65022301220120
7540223221021
oct122134402120
931421067853
1011030103120
114750229803
122179b61640
13106a23754a
14768ca8c48
15448538a80
hex291720450

11030103120 has 80 divisors (see below), whose sum is σ = 34291555200. Its totient is φ = 2932910592.

The previous prime is 11030103113. The next prime is 11030103151. The reversal of 11030103120 is 2130103011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11030103096 and 11030103105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17917 + ... + 149603.

It is an arithmetic number, because the mean of its divisors is an integer number (428644440).

Almost surely, 211030103120 is an apocalyptic number.

11030103120 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 11030103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17145777600).

11030103120 is an abundant number, since it is smaller than the sum of its proper divisors (23261452080).

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

11030103120 is a wasteful number, since it uses less digits than its factorization.

11030103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132052 (or 132046 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11030103120 its reverse (2130103011), we get a palindrome (13160206131).

The spelling of 11030103120 in words is "eleven billion, thirty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 13960 16752 20940 27920 41880 83760 131687 263374 395061 526748 658435 790122 1053496 1316870 1580244 1975305 2106992 2633740 3160488 3950610 5267480 6320976 7901220 10534960 15802440 31604880 45958763 91917526 137876289 183835052 229793815 275752578 367670104 459587630 551505156 689381445 735340208 919175260 1103010312 1378762890 1838350520 2206020624 2757525780 3676701040 5515051560 11030103120