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122220222201 = 32721122290441
BaseRepresentation
bin111000111010011100…
…1001001011011111001
3102200110201220120210100
41301310321021123321
54000301334102301
6132051443310013
711554505514300
oct1616471113371
9380421816710
10122220222201
1147919146a00
121b82b37b309
13b6aa17930c
145cb6169437
1532a4d69286
hex1c74e496f9

122220222201 has 54 divisors (see below), whose sum is σ = 225729930426. Its totient is φ = 63490996800.

The previous prime is 122220222199. The next prime is 122220222217. The reversal of 122220222201 is 102222022221.

122220222201 is a `hidden beast` number, since 1 + 22 + 220 + 222 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105186056976 + 17034165225 = 324324^2 + 130515^2 .

It is not a de Polignac number, because 122220222201 - 21 = 122220222199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220222001) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1091860 + ... + 1198581.

Almost surely, 2122220222201 is an apocalyptic number.

122220222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122220222201 is a deficient number, since it is larger than the sum of its proper divisors (103509708225).

122220222201 is a wasteful number, since it uses less digits than its factorization.

122220222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290483 (or 2290462 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122220222201 its reverse (102222022221), we get a palindrome (224442244422).

It can be divided in two parts, 12222022220 and 1, that added together give a palindrome (12222022221).

The spelling of 122220222201 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 53361 2290441 6871323 16033087 20613969 25194851 48099261 75584553 112231609 144297783 176363957 226753659 277143361 336694827 529091871 831430083 1010084481 1234547699 1587275613 1940003527 2494290249 3703643097 5820010581 11110929291 13580024689 17460031743 40740074067 122220222201