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1103334100 = 2252111019931
BaseRepresentation
bin100000111000011…
…1000101011010100
32211220010011211221
41001300320223110
54224423142400
6301252140124
736225120331
oct10160705324
92756104757
101103334100
11516892270
12269607644
1314777a41b
14a6769988
1566ce3c1a
hex41c38ad4

1103334100 has 72 divisors (see below), whose sum is σ = 2638018656. Its totient is φ = 397200000.

The previous prime is 1103334073. The next prime is 1103334109. The reversal of 1103334100 is 14333011.

It is a super-2 number, since 2×11033341002 = 2434692272445620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103334109) by changing a digit.

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, 106135 + ... + 116065.

It is an arithmetic number, because the mean of its divisors is an integer number (36639148).

Almost surely, 21103334100 is an apocalyptic number.

1103334100 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 1103334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319009328).

1103334100 is an abundant number, since it is smaller than the sum of its proper divisors (1534684556).

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

1103334100 is a wasteful number, since it uses less digits than its factorization.

1103334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1103334100 is about 33216.4733227355. The cubic root of 1103334100 is about 1033.3220105130.

Adding to 1103334100 its reverse (14333011), we get a palindrome (1117667111).

The spelling of 1103334100 in words is "one billion, one hundred three million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 9931 10100 11110 19862 22220 27775 39724 49655 55550 99310 109241 111100 198620 218482 248275 436964 496550 546205 993100 1003031 1092410 2006062 2184820 2731025 4012124 5015155 5462050 10030310 10924100 11033341 20060620 22066682 25075775 44133364 50151550 55166705 100303100 110333410 220666820 275833525 551667050 1103334100