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201201222102102 = 232172147633061609
BaseRepresentation
bin101101101111110111001111…
…010111110010110001010110
3222101101122112002221101110200
4231233313033113302301112
5202332440100324231402
61551530322044001330
760244210563601455
oct5557671727626126
9871348462841420
10201201222102102
1159121a60631882
121a69618a230246
138836269b09211
143798296592b9c
15183da8b1ce21c
hexb6fdcf5f2c56

201201222102102 has 48 divisors (see below), whose sum is σ = 461581574248080. Its totient is φ = 63121637500416.

The previous prime is 201201222102071. The next prime is 201201222102109.

It is a happy number.

201201222102102 is a `hidden beast` number, since 2 + 0 + 120 + 122 + 210 + 210 + 2 = 666.

201201222102102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201222102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64186674 + ... + 67248282.

It is an arithmetic number, because the mean of its divisors is an integer number (9616282796835).

Almost surely, 2201201222102102 is an apocalyptic number.

201201222102102 is an abundant number, since it is smaller than the sum of its proper divisors (260380352145978).

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

201201222102102 is a wasteful number, since it uses less digits than its factorization.

201201222102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276397 (or 3276394 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 201201222102102 in words is "two hundred one trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 214763 429526 644289 1288578 1932867 3061609 3650971 3865734 6123218 7301942 9184827 10952913 18369654 21905826 27554481 32858739 52047353 55108962 65717478 104094706 156142059 312284118 468426177 936852354 657520333667 1315040667334 1972561001001 3945122002002 5917683003003 11177845672339 11835366006006 22355691344678 33533537017017 67067074034034 100600611051051 201201222102102