Search a number
-
+
100000201222012 = 22713493755646309
BaseRepresentation
bin10110101111001100011100…
…011110001010011101111100
3111010001220222221221122222211
4112233030130132022131330
5101101400403003101022
6552403242551350204
730030530131406320
oct2657143436123574
9433056887848884
10100000201222012
1129954935654263
12b270861082364
1343a4c94a3a520
141a9a06d831980
15b8637c2bae77
hex5af31c78a77c

100000201222012 has 48 divisors (see below), whose sum is σ = 215428679363520. Its totient is φ = 39552505385472.

The previous prime is 100000201221979. The next prime is 100000201222013. The reversal of 100000201222012 is 210222102000001.

It is a happy number.

It is a super-2 number, since 2×1000002012220122 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100000201221983 and 100000201222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000201222013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26026087 + ... + 29620222.

It is an arithmetic number, because the mean of its divisors is an integer number (4488097486740).

Almost surely, 2100000201222012 is an apocalyptic number.

It is an amenable number.

100000201222012 is an abundant number, since it is smaller than the sum of its proper divisors (115428478141508).

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

100000201222012 is a wasteful number, since it uses less digits than its factorization.

100000201222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55651270 (or 55651268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100000201222012 its reverse (210222102000001), we get a palindrome (310222303222013).

The spelling of 100000201222012 in words is "one hundred trillion, two hundred one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 4937 9874 19748 34559 64181 69118 128362 138236 256724 449267 898534 1797068 55646309 111292618 222585236 389524163 723402017 779048326 1446804034 1558096652 2893608068 5063814119 10127628238 20255256476 274725827533 549451655066 1098903310132 1923080792731 3571435757929 3846161585462 7142871515858 7692323170924 14285743031716 25000050305503 50000100611006 100000201222012