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201223121322102 = 231121012744226077
BaseRepresentation
bin101101110000001011101000…
…101010101100000001110110
3222101110202001022012000202220
4231300023220222230001312
5202333314423024301402
61551544343100143210
760245614350106065
oct5560135052540166
9871422038160686
10201223121322102
1159130279123a00
121a69a480237b06
138838349b03669
143799372bbc1dc
15183e41da51dbc
hexb702e8aac076

201223121322102 has 48 divisors (see below), whose sum is σ = 446738051689776. Its totient is φ = 60372973672000.

The previous prime is 201223121322053. The next prime is 201223121322107.

201223121322102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201223121322107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372039713 + ... + 1372186364.

It is an arithmetic number, because the mean of its divisors is an integer number (9307042743537).

Almost surely, 2201223121322102 is an apocalyptic number.

201223121322102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201223121322102 is an abundant number, since it is smaller than the sum of its proper divisors (245514930367674).

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

201223121322102 is a wasteful number, since it uses less digits than its factorization.

201223121322102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744226205 (or 2744226194 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 201223121322102 in words is "two hundred one trillion, two hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 3333 6666 12221 24442 36663 73326 2744226077 5488452154 8232678231 16465356462 30186486847 60372973694 90559460541 181118921082 277166833777 332051355317 554333667554 664102710634 831500501331 996154065951 1663001002662 1992308131902 3048835171547 6097670343094 9146505514641 18293011029282 33537186887017 67074373774034 100611560661051 201223121322102