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2102210201322 = 2347111391212427
BaseRepresentation
bin11110100101110101011…
…111100000011011101010
321102222011122101001110000
4132211311133200123222
5233420311302420242
64245424140203430
7304610504611140
oct36456537403352
97388148331400
102102210201322
117405a6943950
1229b509b39576
13123311c3783a
1473a67285590
1539a3b29ba4c
hex1e9757e06ea

2102210201322 has 160 divisors (see below), whose sum is σ = 5915096732160. Its totient is φ = 542099913120.

The previous prime is 2102210201317. The next prime is 2102210201369. The reversal of 2102210201322 is 2231020122012.

2102210201322 is a `hidden beast` number, since 210 + 221 + 0 + 201 + 32 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102210201295 and 2102210201304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1127673 + ... + 2340099.

It is an arithmetic number, because the mean of its divisors is an integer number (36969354576).

Almost surely, 22102210201322 is an apocalyptic number.

2102210201322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102210201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957548366080).

2102210201322 is an abundant number, since it is smaller than the sum of its proper divisors (3812886530838).

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

2102210201322 is a wasteful number, since it uses less digits than its factorization.

2102210201322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212598 (or 1212589 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102210201322 its reverse (2231020122012), we get a palindrome (4333230323334).

The spelling of 2102210201322 in words is "two trillion, one hundred two billion, two hundred ten million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 139 154 162 189 198 231 278 297 378 417 462 567 594 693 834 891 973 1134 1251 1386 1529 1782 1946 2079 2502 2919 3058 3753 4158 4587 5838 6237 7506 8757 9174 10703 11259 12474 13761 17514 21406 22518 26271 27522 32109 41283 52542 64218 78813 82566 96327 123849 157626 192654 247698 288981 577962 866943 1212427 1733886 2424854 3637281 7274562 8486989 10911843 13336697 16973978 21823686 25460967 26673394 32735529 40010091 50921934 65471058 76382901 80020182 93356879 98206587 120030273 152765802 168527353 186713758 196413174 229148703 240060546 280070637 337054706 360090819 458297406 505582059 560141274 687446109 720181638 840211911 1011164118 1080272457 1179691471 1374892218 1516746177 1680423822 1853800883 2160544914 2359382942 2520635733 3033492354 3539074413 3707601766 4550238531 5041271466 5561402649 7078148826 7561907199 9100477062 10617223239 11122805298 12976606181 13650715593 15123814398 16684207947 21234446478 25953212362 27301431186 31851669717 33368415894 38929818543 50052623841 63703339434 77859637086 95555009151 100105247682 116789455629 150157871523 191110018302 233578911258 300315743046 350368366887 700736733774 1051105100661 2102210201322