Search a number
-
+
2102001202112 = 26717275998057
BaseRepresentation
bin11110100101101001000…
…010001111001111000000
321102221122002002210102112
4132211221002033033000
5233414344301431422
64245351312434452
7304602356263040
oct36455102171700
97387562083375
102102001202112
117404a9974729
1229b46bb48a28
131232aa84c376
1473a475dd720
1539a27c65ee2
hex1e96908f3c0

2102001202112 has 56 divisors (see below), whose sum is σ = 5047452484704. Its totient is φ = 847866028032.

The previous prime is 2102001202111. The next prime is 2102001202127. The reversal of 2102001202112 is 2112021002012.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102001202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137991413 + ... + 138006644.

It is an arithmetic number, because the mean of its divisors is an integer number (90133080084).

Almost surely, 22102001202112 is an apocalyptic number.

It is an amenable number.

2102001202112 is an abundant number, since it is smaller than the sum of its proper divisors (2945451282592).

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

2102001202112 is a wasteful number, since it uses less digits than its factorization.

2102001202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275998093 (or 275998083 counting only the distinct ones).

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

Adding to 2102001202112 its reverse (2112021002012), we get a palindrome (4214022204124).

The spelling of 2102001202112 in words is "two trillion, one hundred two billion, one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 275998057 551996114 1103992228 1931986399 2207984456 3863972798 4415968912 4691966969 7727945596 8831937824 9383933938 15455891192 17663875648 18767867876 30911782384 32843768783 37535735752 61823564768 65687537566 75071471504 123647129536 131375075132 150142943008 262750150264 300285886016 525500300528 1051000601056 2102001202112