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202012121210202 = 23243260997572623
BaseRepresentation
bin101101111011101010011100…
…101110011001110101011010
3222111021011121001200012000200
4231323222130232121311122
5202434231311012211302
61553351030510043030
760356615453361042
oct5573523456316532
9874234531605020
10202012121210202
115940494aa83826
121a7a73767a9476
138894879b16784
1437c5620244722
151854beb28181c
hexb7ba9cb99d5a

202012121210202 has 24 divisors (see below), whose sum is σ = 447871834622784. Its totient is φ = 65771388300744.

The previous prime is 202012121210191. The next prime is 202012121210227.

It is a happy number.

202012121210202 is a `hidden beast` number, since 20 + 20 + 1 + 212 + 1 + 210 + 202 = 666.

202012121210202 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2020121212102023 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130498785538 + ... + 130498787085.

It is an arithmetic number, because the mean of its divisors is an integer number (18661326442616).

Almost surely, 2202012121210202 is an apocalyptic number.

202012121210202 is an abundant number, since it is smaller than the sum of its proper divisors (245859713412582).

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

202012121210202 is a wasteful number, since it uses less digits than its factorization.

202012121210202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260997572674 (or 260997572671 counting only the distinct ones).

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

The spelling of 202012121210202 in words is "two hundred two trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 260997572623 521995145246 782992717869 1565985435738 2348978153607 4697956307214 11222895622789 22445791245578 33668686868367 67337373736734 101006060605101 202012121210202