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1100052312 = 233538091069
BaseRepresentation
bin100000110010001…
…0111011101011000
32211122221110002020
41001210113131120
54223103133222
6301053534440
736155201412
oct10144273530
92748843066
101100052312
11514a50647
122684a4420
13146b9b738
14a61539b2
156689665c
hex41917758

1100052312 has 64 divisors (see below), whose sum is σ = 2808108000. Its totient is φ = 358984704.

The previous prime is 1100052311. The next prime is 1100052313. The reversal of 1100052312 is 2132500011.

It is an interprime number because it is at equal distance from previous prime (1100052311) and next prime (1100052313).

It is a junction number, because it is equal to n+sod(n) for n = 1100052291 and 1100052300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100052311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028514 + ... + 1029582.

Almost surely, 21100052312 is an apocalyptic number.

1100052312 is a gapful number since it is divisible by the number (12) 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 1100052312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404054000).

1100052312 is an abundant number, since it is smaller than the sum of its proper divisors (1708055688).

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

1100052312 is a wasteful number, since it uses less digits than its factorization.

1100052312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1100052312 is about 33167.0365272510. The cubic root of 1100052312 is about 1032.2964790265.

Adding to 1100052312 its reverse (2132500011), we get a palindrome (3232552323).

The spelling of 1100052312 in words is "one billion, one hundred million, fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 809 1069 1272 1618 2138 2427 3207 3236 4276 4854 6414 6472 8552 9708 12828 19416 25656 42877 56657 85754 113314 128631 169971 171508 226628 257262 339942 343016 453256 514524 679884 864821 1029048 1359768 1729642 2594463 3459284 5188926 6918568 10377852 20755704 45835513 91671026 137506539 183342052 275013078 366684104 550026156 1100052312