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201001122220122 = 232721937324171307
BaseRepresentation
bin101101101100111100111000…
…011111010100100001011010
3222100200112000210201011122200
4231230330320133110201122
5202321200244242020442
61551254350225031030
760223565120633400
oct5554747037244132
9870615023634580
10201001122220122
115905510844a894
121a663445185476
13882042abb81a3
14378c713111470
1518387790ca34c
hexb6cf387d485a

201001122220122 has 144 divisors (see below), whose sum is σ = 547680941439840. Its totient is φ = 52935877584576.

The previous prime is 201001122220097. The next prime is 201001122220207. The reversal of 201001122220122 is 221022221100102.

It is a happy number.

201001122220122 is a `hidden beast` number, since 201 + 0 + 0 + 1 + 122 + 220 + 122 = 666.

It is a super-2 number, since 2×2010011222201222 (a number of 29 digits) contains 22 as substring.

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 = 201001122220095 and 201001122220104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161465608 + ... + 162705699.

It is an arithmetic number, because the mean of its divisors is an integer number (3803339871110).

Almost surely, 2201001122220122 is an apocalyptic number.

201001122220122 is an abundant number, since it is smaller than the sum of its proper divisors (346679819219718).

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

201001122220122 is a wasteful number, since it uses less digits than its factorization.

201001122220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324171385 (or 324171375 counting only the distinct ones).

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

Adding to 201001122220122 its reverse (221022221100102), we get a palindrome (422023343320224).

The spelling of 201001122220122 in words is "two hundred one trillion, one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 49 57 63 74 98 111 114 126 133 147 171 222 259 266 294 333 342 399 441 518 666 703 777 798 882 931 1197 1406 1554 1813 1862 2109 2331 2394 2793 3626 4218 4662 4921 5439 5586 6327 8379 9842 10878 12654 14763 16317 16758 29526 32634 34447 44289 68894 88578 103341 206682 310023 620046 324171307 648342614 972513921 1945027842 2269199149 2917541763 4538398298 5835083526 6159254833 6807597447 11994338359 12318509666 13615194894 15884394043 18477764499 20422792341 23988676718 31768788086 35983015077 36955528998 40845584682 43114783831 47653182129 55433293497 71966030154 83960368513 86229567662 95306364258 107949045231 110866586994 129344351493 142959546387 167920737026 215898090462 227892428821 251881105539 258688702986 285919092774 301803486817 388033054479 455784857642 503762211078 587722579591 603606973634 683677286463 755643316617 776066108958 905410460451 1175445159182 1367354572926 1511286633234 1595247001747 1763167738773 1810820920902 2051031859389 2716231381353 3190494003494 3526335477546 4102063718778 4785741005241 5289503216319 5432462762706 9571482010482 10579006432638 11166729012229 14357223015723 22333458024458 28714446031446 33500187036687 67000374073374 100500561110061 201001122220122