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2122011102212 = 222959796176361
BaseRepresentation
bin11110111000010001101…
…101111100110000000100
321111212021121021001001122
4132320101231330300010
5234231334320232322
64302501034213112
7306211261522151
oct36702155746004
97455247231048
102122011102212
11748a37a45851
122a3315284198
131251492b2241
14749c4d41228
153a2e97da442
hex1ee11b7cc04

2122011102212 has 96 divisors (see below), whose sum is σ = 3963169728000. Its totient is φ = 992540989440.

The previous prime is 2122011102203. The next prime is 2122011102251.

2122011102212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21220111022122 (a number of 25 digits) contains 22 as substring.

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, 333593912 + ... + 333600272.

It is an arithmetic number, because the mean of its divisors is an integer number (41283018000).

Almost surely, 22122011102212 is an apocalyptic number.

It is an amenable number.

2122011102212 is a deficient number, since it is larger than the sum of its proper divisors (1841158625788).

2122011102212 is a wasteful number, since it uses less digits than its factorization.

2122011102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 2122011102212 in words is "two trillion, one hundred twenty-two billion, eleven million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 29 58 59 79 116 118 158 236 316 617 1234 1711 2291 2468 3422 4582 4661 6361 6844 9164 9322 12722 17893 18644 25444 35786 36403 48743 71572 72806 97486 135169 145612 184469 194972 270338 368938 375299 502519 540676 737876 750598 1005038 1055687 1413547 1501196 2010076 2111374 2827094 2875837 3924737 4222748 5654188 5751674 7849474 10883671 11503348 14573051 15698948 21767342 29146102 29648621 43534684 58292204 59297242 83399273 113817373 118594484 166798546 227634746 231559483 310054223 333597092 455269492 463118966 620108446 859810009 926237932 1240216892 1719620018 3439240036 6715225007 8991572467 13430450014 17983144934 18293199157 26860900028 35966289868 36586398314 73172796628 530502775553 1061005551106 2122011102212