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210112012220121 = 33114165926183347
BaseRepresentation
bin101111110001100010000011…
…110110011111011011011001
31000112221111211101121122212000
4233301202003312133123121
5210014433400112020441
62022512043105111213
762154043351101414
oct5761420366373331
91015844741548760
10210112012220121
1160a48005320210
121b695147928509
13903162977989b
1439c5693292b7b
151945767aa32b6
hexbf1883d9f6d9

210112012220121 has 64 divisors (see below), whose sum is σ = 348385155148800. Its totient is φ = 124046220009600.

The previous prime is 210112012220111. The next prime is 210112012220137. The reversal of 210112012220121 is 121022210211012.

210112012220121 is a `hidden beast` number, since 210 + 11 + 201 + 2 + 220 + 1 + 21 = 666.

It is not a de Polignac number, because 210112012220121 - 218 = 210112011957977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210112012220094 and 210112012220103.

It is not an unprimeable number, because it can be changed into a prime (210112012220111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5067031 + ... + 21116316.

It is an arithmetic number, because the mean of its divisors is an integer number (5443518049200).

Almost surely, 2210112012220121 is an apocalyptic number.

It is an amenable number.

210112012220121 is a deficient number, since it is larger than the sum of its proper divisors (138273142928679).

210112012220121 is a wasteful number, since it uses less digits than its factorization.

210112012220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26184067 (or 26184061 counting only the distinct ones).

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

Adding to 210112012220121 its reverse (121022210211012), we get a palindrome (331134222431133).

The spelling of 210112012220121 in words is "two hundred ten trillion, one hundred twelve billion, twelve million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 659 1107 1353 1977 4059 5931 7249 12177 17793 21747 27019 65241 81057 195723 243171 297209 729513 891627 2674881 8024643 26183347 78550041 235650123 288016817 706950369 864050451 1073517227 2592151353 3220551681 7776454059 9661655043 11808689497 17254825673 28984965129 35426068491 51764477019 106278205473 155293431057 189803082403 318834616419 465880293171 569409247209 707447852593 1708227741627 2122343557779 5124683224881 6367030673337 7781926378523 19101092020011 23345779135569 70037337406707 210112012220121