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330121321001122 = 271492117331023229
BaseRepresentation
bin100101100001111100101110…
…0000100100011000010100010
31121021212021211110111202201011
41023003321130010203002202
5321232201431134013442
63130035350301331134
7126351323036521030
oct11303713404430242
91537767743452634
10330121321001122
1196206736507362
1231037882566aaa
13112283cb60a3a1
145b73d58755550
15282732e57b117
hex12c3e5c1230a2

330121321001122 has 64 divisors (see below), whose sum is σ = 573201985824000. Its totient is φ = 139674060046080.

The previous prime is 330121321001099. The next prime is 330121321001179. The reversal of 330121321001122 is 221100123121033.

It is a super-3 number, since 3×3301213210011223 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330121321001093 and 330121321001102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322115404 + ... + 323138632.

It is an arithmetic number, because the mean of its divisors is an integer number (8956281028500).

Almost surely, 2330121321001122 is an apocalyptic number.

330121321001122 is a deficient number, since it is larger than the sum of its proper divisors (243080664822878).

330121321001122 is a wasteful number, since it uses less digits than its factorization.

330121321001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024331.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 330121321001122 its reverse (221100123121033), we get a palindrome (551221444122155).

The spelling of 330121321001122 in words is "three hundred thirty trillion, one hundred twenty-one billion, three hundred twenty-one million, one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 149 211 298 422 733 1043 1466 1477 2086 2954 5131 10262 31439 62878 109217 154663 218434 220073 309326 440146 764519 1023229 1082641 1529038 2046458 2165282 7162603 14325206 23044787 46089574 152461121 161313509 215901319 304922242 322627018 431802638 750026857 1067227847 1500053714 1511309233 2134455694 3022618466 5250187999 10500375998 32169296531 64338593062 111754001693 158255666827 223508003386 225185075717 316511333654 450370151434 782278011851 1107789667789 1564556023702 2215579335578 23580094357223 47160188714446 165060660500561 330121321001122