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1121313100 = 2252411811511
BaseRepresentation
bin100001011010101…
…1110000101001100
32220010221121101211
41002311132011030
54244024004400
6303133344204
736534001255
oct10265360514
92803847354
101121313100
11525a52146
12273638064
1314b40399b
14a8cc9b2c
1568695dba
hex42d5e14c

1121313100 has 72 divisors (see below), whose sum is σ = 2508026976. Its totient is φ = 434880000.

The previous prime is 1121313091. The next prime is 1121313119. The reversal of 1121313100 is 13131211.

It is a super-2 number, since 2×11213131002 = 2514686136463220000, which contains 22 as substring.

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, 741345 + ... + 742855.

It is an arithmetic number, because the mean of its divisors is an integer number (34833708).

Almost surely, 21121313100 is an apocalyptic number.

1121313100 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 1121313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254013488).

1121313100 is an abundant number, since it is smaller than the sum of its proper divisors (1386713876).

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

1121313100 is a wasteful number, since it uses less digits than its factorization.

1121313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1121313100 is about 33486.0134981756. The cubic root of 1121313100 is about 1038.9045109141.

Adding to 1121313100 its reverse (13131211), we get a palindrome (1134444311).

The spelling of 1121313100 in words is "one billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 181 205 362 410 724 820 905 1025 1511 1810 2050 3022 3620 4100 4525 6044 7421 7555 9050 14842 15110 18100 29684 30220 37105 37775 61951 74210 75550 123902 148420 151100 185525 247804 273491 309755 371050 546982 619510 742100 1093964 1239020 1367455 1548775 2734910 3097550 5469820 6195100 6837275 11213131 13674550 22426262 27349100 44852524 56065655 112131310 224262620 280328275 560656550 1121313100