Search a number
-
+
122200212195 = 345301728919
BaseRepresentation
bin111000111001110110…
…0110100001011100011
3102200102100020222020000
41301303230310023203
54000231223242240
6132045450351043
711554143444135
oct1616354641343
9380370228200
10122200212195
114790891a106
121b82472b483
13b6a5c91489
145cb363b055
1532a3215430
hex1c73b342e3

122200212195 has 20 divisors (see below), whose sum is σ = 219055195920. Its totient is φ = 65173446288.

The previous prime is 122200212143. The next prime is 122200212203. The reversal of 122200212195 is 591212002221.

It is a happy number.

It is not a de Polignac number, because 122200212195 - 211 = 122200210147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150864055 + ... + 150864864.

It is an arithmetic number, because the mean of its divisors is an integer number (10952759796).

Almost surely, 2122200212195 is an apocalyptic number.

122200212195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122200212195 is a deficient number, since it is larger than the sum of its proper divisors (96854983725).

122200212195 is an equidigital number, since it uses as much as digits as its factorization.

122200212195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301728936 (or 301728927 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 122200212195 in words is "one hundred twenty-two billion, two hundred million, two hundred twelve thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 301728919 905186757 1508644595 2715560271 4525933785 8146680813 13577801355 24440042439 40733404065 122200212195