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201102201102 = 231121012779901
BaseRepresentation
bin1011101101001010100…
…0000001000100001110
3201020002011021022011110
42323102220001010032
511243324130413402
6232215102032450
720346333335205
oct2732250010416
9636064238143
10201102201102
1178317a4a200
1232b84878726
1315c6b79098a
149a3a63423c
1553700e256c
hex2ed2a0110e

201102201102 has 96 divisors (see below), whose sum is σ = 448126654752. Its totient is φ = 60112800000.

The previous prime is 201102201089. The next prime is 201102201119.

201102201102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20306352 + ... + 20316252.

It is an arithmetic number, because the mean of its divisors is an integer number (4667985987).

Almost surely, 2201102201102 is an apocalyptic number.

201102201102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224063327376).

201102201102 is an abundant number, since it is smaller than the sum of its proper divisors (247024453650).

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

201102201102 is a wasteful number, since it uses less digits than its factorization.

201102201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 201102 and 201102, that added together give a palindrome (402204).

The spelling of 201102201102 in words is "two hundred one billion, one hundred two million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 277 303 363 554 606 726 831 1111 1662 2222 3047 3333 6094 6666 9141 9901 12221 18282 19802 24442 27977 29703 33517 36663 55954 59406 67034 73326 83931 100551 108911 167862 201102 217822 307747 326733 615494 653466 923241 1000001 1198021 1846482 2000002 2396042 2742577 3000003 3385217 3594063 5485154 6000006 6770434 7188126 8227731 10155651 11000011 16455462 20311302 22000022 30168347 33000033 60336694 66000066 90505041 121000121 181010082 242000242 277000277 331851817 363000363 554000554 663703634 726000726 831000831 995555451 1662001662 1991110902 3047003047 6094006094 9141009141 18282018282 33517033517 67034067034 100551100551 201102201102