Search a number
-
+
21102200212100 = 2252750096018367
BaseRepresentation
bin1001100110001001111010…
…01001011100101010000100
32202201100110121121121222112
410303010331021130222010
510231214301223241400
6112514114505520152
74305404123160650
oct463047511345204
982640417547875
1021102200212100
1167a6435982a37
1224498b81a3058
13ba0c0cb66057
1452d4cda19a60
15268db3a96835
hex13313d25ca84

21102200212100 has 72 divisors (see below), whose sum is σ = 52343913108480. Its totient is φ = 7233594462720.

The previous prime is 21102200212097. The next prime is 21102200212103. The reversal of 21102200212100 is 121200220112.

It is an interprime number because it is at equal distance from previous prime (21102200212097) and next prime (21102200212103).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21102200212103) 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, 497117 + ... + 6515483.

Almost surely, 221102200212100 is an apocalyptic number.

21102200212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102200212100 is an abundant number, since it is smaller than the sum of its proper divisors (31241712896380).

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

21102200212100 is a wasteful number, since it uses less digits than its factorization.

21102200212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023397 (or 6023390 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21102200212100 its reverse (121200220112), we get a palindrome (21223400432212).

The spelling of 21102200212100 in words is "twenty-one trillion, one hundred two billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 5009 10018 20036 25045 35063 50090 70126 100180 125225 140252 175315 250450 350630 500900 701260 876575 1753150 3506300 6018367 12036734 24073468 30091835 42128569 60183670 84257138 120367340 150459175 168514276 210642845 300918350 421285690 601836700 842571380 1053214225 2106428450 4212856900 30146000303 60292000606 120584001212 150730001515 211022002121 301460003030 422044004242 602920006060 753650007575 844088008484 1055110010605 1507300015150 2110220021210 3014600030300 4220440042420 5275550053025 10551100106050 21102200212100