Search a number
-
+
112100220202201 = 71123103651610681
BaseRepresentation
bin11001011111010001011101…
…110011011110110011011001
3112200220200021002101101221221
4121133101131303132303121
5104143122222332432301
61034230044043332041
732416654646631220
oct3137213563366331
9480820232341857
10112100220202201
113279a488948270
12106a5934b21021
134a7200bb53a0a
141d97972bb1cb7
15ce5eb5e24da1
hex65f45dcdecd9

112100220202201 has 32 divisors (see below), whose sum is σ = 145839538169856. Its totient is φ = 83552016240000.

The previous prime is 112100220202199. The next prime is 112100220202237. The reversal of 112100220202201 is 102202022001211.

It is a happy number.

It is not a de Polignac number, because 112100220202201 - 21 = 112100220202199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112100220206201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183260581 + ... + 183871261.

It is an arithmetic number, because the mean of its divisors is an integer number (4557485567808).

Almost surely, 2112100220202201 is an apocalyptic number.

112100220202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100220202201 is a deficient number, since it is larger than the sum of its proper divisors (33739317967655).

112100220202201 is a wasteful number, since it uses less digits than its factorization.

112100220202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714373.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112100220202201 its reverse (102202022001211), we get a palindrome (214302242203412).

The spelling of 112100220202201 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty million, two hundred two thousand, two hundred one".

Divisors: 1 7 11 23 77 161 253 1771 103651 610681 725557 1140161 2383973 4274767 6717491 7981127 14045663 16687811 26223703 47022437 98319641 154502293 183565921 1081516051 63297696331 443083874317 696274659641 1455847015613 4873922617487 10190929109291 16014317171743 112100220202201