Search a number
-
+
2106006227100 = 2232522340006919
BaseRepresentation
bin11110101001010111110…
…000001100100010011100
321110022222012021010212100
4132221113300030202130
5234001100043231400
64251252542205100
7305103540365526
oct36512760144234
97408865233770
102106006227100
11742174680236
122a01a9283790
13123798510039
1473d074a0a16
1539bae680100
hex1ea57c0c89c

2106006227100 has 54 divisors (see below), whose sum is σ = 6601159521320. Its totient is φ = 561601660320.

The previous prime is 2106006227093. The next prime is 2106006227201. The reversal of 2106006227100 is 17226006012.

2106006227100 is a `hidden beast` number, since 21 + 0 + 6 + 0 + 0 + 622 + 7 + 10 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1170002560 + ... + 1170004359.

Almost surely, 22106006227100 is an apocalyptic number.

2106006227100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106006227100 is an abundant number, since it is smaller than the sum of its proper divisors (4495153294220).

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

2106006227100 is a wasteful number, since it uses less digits than its factorization.

2106006227100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340006939 (or 2340006929 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2106006227100 in words is "two trillion, one hundred six billion, six million, two hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2340006919 4680013838 7020020757 9360027676 11700034595 14040041514 21060062271 23400069190 28080083028 35100103785 42120124542 46800138380 58500172975 70200207570 84240249084 105300311355 117000345950 140400415140 175500518925 210600622710 234000691900 351001037850 421201245420 526501556775 702002075700 1053003113550 2106006227100