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20122101010002 = 231131633374091321
BaseRepresentation
bin1001001001101000010101…
…01011101100111001010010
32122020122122211001111001110
410210310022223230321102
510114140030324310002
6110443544322314150
74144526264335605
oct444641253547122
978218584044043
1020122101010002
11645880a490062
12230b96aab8956
13b2c676850894
144d7cb463433c
1524d64e502e6c
hex124d0aaece52

20122101010002 has 128 divisors (see below), whose sum is σ = 41101905611520. Its totient is φ = 6566537134080.

The previous prime is 20122101009991. The next prime is 20122101010019. The reversal of 20122101010002 is 20001010122102.

It is a super-3 number, since 3×201221010100023 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20122101010002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15232475502 + ... + 15232476822.

It is an arithmetic number, because the mean of its divisors is an integer number (321108637590).

Almost surely, 220122101010002 is an apocalyptic number.

20122101010002 is an abundant number, since it is smaller than the sum of its proper divisors (20979804601518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20122101010002 is a wasteful number, since it uses less digits than its factorization.

20122101010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20122101010002 its reverse (20001010122102), we get a palindrome (40123111132104).

The spelling of 20122101010002 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, ten thousand, two".

Divisors: 1 2 3 6 113 163 226 326 337 339 409 489 674 678 818 978 1011 1227 1321 2022 2454 2642 3963 7926 18419 36838 38081 46217 54931 55257 66667 76162 92434 109862 110514 114243 133334 137833 138651 149273 164793 200001 215323 228486 275666 277302 298546 329586 400002 413499 430646 445177 447819 540289 645969 826998 890354 895638 1080578 1291938 1335531 1620867 2671062 3241734 6207203 7533371 12414406 15066742 15575129 18621609 22466779 22600113 24331499 31150258 37243218 44933558 45200226 46725387 48662998 50305001 61052657 67400337 72563851 72994497 88067107 93450774 100610002 122105314 134800674 145127702 145988994 150915003 176134214 182077393 183157971 217691553 264201321 301830006 364154786 366315942 435383106 528402642 546232179 1092464358 2538746027 5077492054 7616238081 8199715163 9951583091 15232476162 16399430326 19903166182 20574745409 24599145489 29678615059 29854749273 41149490818 49198290978 59357230118 59709498546 61724236227 89035845177 123448472454 178071690354 3353683501667 6707367003334 10061050505001 20122101010002