Search a number
-
+
10222101101212 = 22721113596181531
BaseRepresentation
bin1001010011000000010010…
…1101000111101010011100
31100012020000210122012120221
42110300010231013222130
52314434330340214322
633423545102251124
72103344123506600
oct224600455075234
940166023565527
1010222101101212
113291194644720
121191140b86aa4
13591c2b237480
14274a7658b500
1512ad788169c7
hex94c04b47a9c

10222101101212 has 144 divisors (see below), whose sum is σ = 24861627181440. Its totient is φ = 3613969699200.

The previous prime is 10222101101197. The next prime is 10222101101221. The reversal of 10222101101212 is 21210110122201.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1437114 + ... + 4744417.

It is an arithmetic number, because the mean of its divisors is an integer number (172650188760).

Almost surely, 210222101101212 is an apocalyptic number.

It is an amenable number.

10222101101212 is an abundant number, since it is smaller than the sum of its proper divisors (14639526080228).

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

10222101101212 is a wasteful number, since it uses less digits than its factorization.

10222101101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181632 (or 6181623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10222101101212 its reverse (21210110122201), we get a palindrome (31432211223413).

It can be divided in two parts, 10 and 222101101212, that added together give a palindrome (222101101222).

The spelling of 10222101101212 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 59 77 91 98 118 143 154 182 196 236 286 308 364 413 539 572 637 649 767 826 1001 1078 1274 1298 1534 1652 2002 2156 2548 2596 2891 3068 4004 4543 5369 5782 7007 8437 9086 10738 11564 14014 16874 18172 21476 28028 31801 33748 37583 59059 63602 75166 118118 127204 150332 236236 413413 826826 1653652 6181531 12363062 24726124 43270717 67996841 80359903 86541434 135993682 160719806 173082868 271987364 302895019 321439612 364710329 475977887 562519321 605790038 729420658 883958933 951955774 1125038642 1211580076 1458841316 1767917866 1903911548 2250077284 2552972303 3331845209 3535835732 3937635247 4011813619 4741234277 5105944606 6187712531 6663690418 7875270494 8023627238 9482468554 10211889212 12375425062 13327380836 15750540988 16047254476 17870806121 18964937108 24750850124 28082695333 33188639939 35741612242 43313987717 52153577047 56165390666 66377279878 71483224484 86627975434 104307154094 112330781332 132754559756 173255950868 196578867331 208614308188 232320479573 365075039329 393157734662 464640959146 730150078658 786315469324 929281918292 1460300157316 2555525275303 5111050550606 10222101101212