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210022012022121 = 321359891019335477
BaseRepresentation
bin101111110000001110001111…
…011010111110110101101001
31000112121220112010100220010100
4233300032033122332311221
5210012000040034201441
62022402440320340013
762144406150041535
oct5760161732766551
91015556463326110
10210022012022121
1160a12920584392
121b67b80aa74609
139025cb58b8460
1439c1196342bc5
15194324b6d7cb6
hexbf038f6bed69

210022012022121 has 96 divisors (see below), whose sum is σ = 336301933968000. Its totient is φ = 125502505565184.

The previous prime is 210022012022111. The next prime is 210022012022149. The reversal of 210022012022121 is 121220210220012.

It is a happy number.

210022012022121 is a `hidden beast` number, since 2 + 100 + 220 + 120 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 210022012022121 - 26 = 210022012022057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210022012022094 and 210022012022103.

It is not an unprimeable number, because it can be changed into a prime (210022012022111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 625872235 + ... + 626207711.

It is an arithmetic number, because the mean of its divisors is an integer number (3503145145500).

Almost surely, 2210022012022121 is an apocalyptic number.

It is an amenable number.

210022012022121 is a deficient number, since it is larger than the sum of its proper divisors (126279921945879).

210022012022121 is a wasteful number, since it uses less digits than its factorization.

210022012022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336663 (or 336660 counting only the distinct ones).

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

Adding to 210022012022121 its reverse (121220210220012), we get a palindrome (331242222242133).

The spelling of 210022012022121 in words is "two hundred ten trillion, twenty-two billion, twelve million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 59 89 117 177 267 531 767 801 1019 1157 2301 3057 3471 5251 6903 9171 10413 13247 15753 39741 47259 60121 68263 90691 119223 180363 204789 272073 335477 541089 614367 781573 816219 1006431 1178983 2344719 3019293 3536949 4361201 5350769 7034157 10610847 13083603 16052307 19793143 29857453 39250809 48156921 59379429 69559997 89572359 178138287 208679991 257310859 268717077 341851063 388146889 626039973 771932577 1025553189 1164440667 1761589727 2315797731 3076659567 3493322001 4444063819 5284769181 13332191457 15854307543 20169212717 22900666451 30424744607 39996574371 60507638151 68701999353 91274233821 181522914453 206105998059 262199765321 273822701463 395521679891 786599295963 1186565039673 1795059931813 2359797887889 3559695119019 5385179795439 16155539386317 23335779113569 70007337340707 210022012022121