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201012012202212 = 2232232941607336373
BaseRepresentation
bin101101101101000111000001…
…100101010011100011100100
3222100201120010202010120200200
4231231013001211103203210
5202321340100110432322
61551303351003110500
760224432023151331
oct5555070145234344
9870646122116620
10201012012202212
1159059796574592
121a665584212430
1388214750a2283
14378d067543988
151838bb51868ac
hexb6d1c19538e4

201012012202212 has 288 divisors, whose sum is σ = 562793636321280. Its totient is φ = 60271834613760.

The previous prime is 201012012202193. The next prime is 201012012202223. The reversal of 201012012202212 is 212202210210102.

It is a happy number.

201012012202212 is a `hidden beast` number, since 20 + 1 + 0 + 1 + 201 + 220 + 221 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597418458 + ... + 597754830.

It is an arithmetic number, because the mean of its divisors is an integer number (1954144570560).

Almost surely, 2201012012202212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012012202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281396818160640).

201012012202212 is an abundant number, since it is smaller than the sum of its proper divisors (361781624119068).

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

201012012202212 is a wasteful number, since it uses less digits than its factorization.

201012012202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337083 (or 337078 counting only the distinct ones).

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

Adding to 201012012202212 its reverse (212202210210102), we get a palindrome (413214222412314).

The spelling of 201012012202212 in words is "two hundred one trillion, twelve billion, twelve million, two hundred two thousand, two hundred twelve".