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1100120100 = 223528941203
BaseRepresentation
bin100000110010010…
…1000000000100100
32211200001220001220
41001210220000210
54223112320400
6301055220340
736155603142
oct10144500044
92750056056
101100120100
11514a97572
122685176b0
13146bc3551
14a6170592
15668ab7a0
hex41928024

1100120100 has 72 divisors (see below), whose sum is σ = 3218856480. Its totient is φ = 290062080.

The previous prime is 1100120093. The next prime is 1100120113. The reversal of 1100120100 is 10210011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 6099 + ... + 47301.

It is an arithmetic number, because the mean of its divisors is an integer number (44706340).

Almost surely, 21100120100 is an apocalyptic number.

1100120100 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 1100120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609428240).

1100120100 is an abundant number, since it is smaller than the sum of its proper divisors (2118736380).

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

1100120100 is a wasteful number, since it uses less digits than its factorization.

1100120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41309 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1100120100 is about 33168.0584297604. The cubic root of 1100120100 is about 1032.3176828291.

Adding to 1100120100 its reverse (10210011), we get a palindrome (1110330111).

The spelling of 1100120100 in words is "one billion, one hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1780 2225 2670 4450 5340 6675 8900 13350 26700 41203 82406 123609 164812 206015 247218 412030 494436 618045 824060 1030075 1236090 2060150 2472180 3090225 3667067 4120300 6180450 7334134 11001201 12360900 14668268 18335335 22002402 36670670 44004804 55006005 73341340 91676675 110012010 183353350 220024020 275030025 366706700 550060050 1100120100