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11003313100 = 22521318734519
BaseRepresentation
bin10100011111101100…
…10011101111001100
31001101211200012221211
422033312103233030
5140013322004400
65015503104204
7536446422013
oct121766235714
931354605854
1011003313100
1147370a0a9a
122170ba2064
131064817670
147654d3a7a
15445ee5dba
hex28fd93bcc

11003313100 has 72 divisors (see below), whose sum is σ = 25733318240. Its totient is φ = 4059694080.

The previous prime is 11003313089. The next prime is 11003313103. The reversal of 11003313100 is 131330011.

It is a happy number.

It is a super-2 number, since 2×110033131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11003313103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2432641 + ... + 2437159.

Almost surely, 211003313100 is an apocalyptic number.

11003313100 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 11003313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866659120).

11003313100 is an abundant number, since it is smaller than the sum of its proper divisors (14730005140).

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

11003313100 is a wasteful number, since it uses less digits than its factorization.

11003313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 11003313100 its reverse (131330011), we get a palindrome (11134643111).

The spelling of 11003313100 in words is "eleven billion, three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1873 3746 4519 7492 9038 9365 18076 18730 22595 24349 37460 45190 46825 48698 58747 90380 93650 97396 112975 117494 121745 187300 225950 234988 243490 293735 451900 486980 587470 608725 1174940 1217450 1468675 2434900 2937350 5874700 8464087 16928174 33856348 42320435 84640870 110033131 169281740 211602175 220066262 423204350 440132524 550165655 846408700 1100331310 2200662620 2750828275 5501656550 11003313100