Search a number
-
+
10221110101202 = 2731113412541289
BaseRepresentation
bin1001010010111100100110…
…1000110000010011010010
31100012010110201220012010212
42110233021220300103102
52314430313141214302
633423302501524122
72103310431242000
oct224571150602322
940163421805125
1010221110101202
113290826208750
121190b05113642
13591b00b2b930
142749c0b03a70
1512ad1b812052
hex94bc9a304d2

10221110101202 has 128 divisors (see below), whose sum is σ = 21517610688000. Its totient is φ = 3586265625600.

The previous prime is 10221110101133. The next prime is 10221110101217. The reversal of 10221110101202 is 20210101112201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2751374 + ... + 5292662.

It is an arithmetic number, because the mean of its divisors is an integer number (168106333500).

Almost surely, 210221110101202 is an apocalyptic number.

10221110101202 is an abundant number, since it is smaller than the sum of its proper divisors (11296500586798).

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

10221110101202 is a wasteful number, since it uses less digits than its factorization.

10221110101202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541377 (or 2541363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221110101202 its reverse (20210101112201), we get a palindrome (30431211213403).

The spelling of 10221110101202 in words is "ten trillion, two hundred twenty-one billion, one hundred ten million, one hundred one thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 41 49 77 82 91 98 143 154 182 286 287 343 451 533 539 574 637 686 902 1001 1066 1078 1274 2002 2009 3157 3731 3773 4018 4459 5863 6314 7007 7462 7546 8918 11726 14014 14063 22099 26117 28126 41041 44198 49049 52234 82082 98098 154693 182819 287287 309386 365638 574574 2011009 2541289 4022018 5082578 17789023 27954179 33036757 35578046 55908358 66073514 104192849 124523161 195679253 208385698 231257299 249046322 363404327 391358506 462514598 726808654 729349943 871662127 1146121339 1354507037 1369754771 1458699886 1618801093 1743324254 2292242678 2543830289 2709014074 2739509542 3237602186 5087660578 5105449601 8022849373 9481549259 9588283397 10210899202 11331607651 14899577407 16045698746 17806812023 18963098518 19176566794 22663215302 29799154814 35613624046 35738147207 56159945611 66370844813 71476294414 104297041849 112319891222 124647684161 132741689626 208594083698 249295368322 393119619277 464595913691 730079292943 786239238554 929191827382 1460158585886 5110555050601 10221110101202