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123122020221321 = 31122141712122247
BaseRepresentation
bin11011111111101010010100…
…010001111000000110001001
3121010221100110021121210112220
4123333222110101320012021
5112114212344134040241
61113505250353124253
734635162303205602
oct3377522421700611
9533840407553486
10123122020221321
11362598346a3200
1211985a57559689
13539148384b364
1422591cd70cda9
15e37a463a9166
hex6ffa94478189

123122020221321 has 48 divisors (see below), whose sum is σ = 180561038523264. Its totient is φ = 74570727616000.

The previous prime is 123122020221313. The next prime is 123122020221331.

123122020221321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123122020221321 - 23 = 123122020221313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123122020221291 and 123122020221300.

It is not an unprimeable number, because it can be changed into a prime (123122020221331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5534309020 + ... + 5534331266.

It is an arithmetic number, because the mean of its divisors is an integer number (3761688302568).

Almost surely, 2123122020221321 is an apocalyptic number.

123122020221321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123122020221321 is a deficient number, since it is larger than the sum of its proper divisors (57439018301943).

123122020221321 is a wasteful number, since it uses less digits than its factorization.

123122020221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31534 (or 31523 counting only the distinct ones).

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

The spelling of 123122020221321 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 121 363 2141 6423 7121 21363 22247 23551 66741 70653 78331 234993 244717 259061 734151 777183 861641 2584923 2691887 8075661 15246061 45738183 47630827 142892481 158420887 167706671 475262661 503120013 523939097 1571817291 1742629757 1844773381 5227889271 5534320143 5763330067 17289990201 19168927327 57506781981 339179119067 1017537357201 3730970309737 11192910929211 41040673407107 123122020221321