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202211020112121 = 32193768346793581
BaseRepresentation
bin101101111110100011101100…
…000001100000000011111001
3222111222011222200001021220200
4231332203230001200003321
5203001011132122041441
61554022243223512413
760410156404216416
oct5576435401400371
9874864880037820
10202211020112121
115948123724a709
121a819a255b8709
1388aa556c8c207
1437d10cbdbd10d
151859e8cc047b6
hexb7e8ec0600f9

202211020112121 has 48 divisors (see below), whose sum is σ = 316227283669440. Its totient is φ = 124078605425280.

The previous prime is 202211020112051. The next prime is 202211020112173. The reversal of 202211020112121 is 121211020112202.

202211020112121 is a `hidden beast` number, since 20 + 221 + 10 + 201 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 202211020112121 - 210 = 202211020111097 is a prime.

It is a super-2 number, since 2×2022110201121212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202211020112094 and 202211020112103.

It is not an unprimeable number, because it can be changed into a prime (202211020102121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19075450 + ... + 27718131.

It is an arithmetic number, because the mean of its divisors is an integer number (6588068409780).

Almost surely, 2202211020112121 is an apocalyptic number.

It is an amenable number.

202211020112121 is a deficient number, since it is larger than the sum of its proper divisors (114016263557319).

202211020112121 is a wasteful number, since it uses less digits than its factorization.

202211020112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46794326 (or 46794323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202211020112121 its reverse (121211020112202), we get a palindrome (323422040224323).

The spelling of 202211020112121 in words is "two hundred two trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 19 37 57 111 171 333 683 703 2049 2109 6147 6327 12977 25271 38931 75813 116793 227439 480149 1440447 4321341 46793581 140380743 421142229 889078039 1731362497 2667234117 5194087491 8001702351 15582262473 31960015823 32895887443 95880047469 98687662329 287640142407 296062986987 607240300637 1182520585451 1821720901911 3547561756353 5465162705733 10642685269059 22467891123569 67403673370707 202211020112121