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21102122211010 = 251731107284313163
BaseRepresentation
bin1001100110001001110000…
…11111111001011011000010
32202201100021011211202121021
410303010320133321123002
510231214121241223020
6112514103042020054
74305402155161351
oct463047037713302
982640234752537
1021102122211010
1167a63a5947625
12244989604762a
13ba0bc9955769
1452d4c3513998
15268dabcda1aa
hex1331387f96c2

21102122211010 has 128 divisors (see below), whose sum is σ = 41921441685504. Its totient is φ = 7612951342080.

The previous prime is 21102122210969. The next prime is 21102122211043. The reversal of 21102122211010 is 1011222120112.

It is a super-3 number, since 3×211021222110103 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1603132689 + ... + 1603145851.

It is an arithmetic number, because the mean of its divisors is an integer number (327511263168).

Almost surely, 221102122211010 is an apocalyptic number.

21102122211010 is a deficient number, since it is larger than the sum of its proper divisors (20819319474494).

21102122211010 is a wasteful number, since it uses less digits than its factorization.

21102122211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16168.

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

Adding to 21102122211010 its reverse (1011222120112), we get a palindrome (22113344331122).

The spelling of 21102122211010 in words is "twenty-one trillion, one hundred two billion, one hundred twenty-two million, two hundred eleven thousand, ten".

Divisors: 1 2 5 10 17 31 34 62 85 107 155 170 214 310 527 535 1054 1070 1819 2635 2843 3317 3638 5270 5686 6634 9095 13163 14215 16585 18190 26326 28430 33170 48331 56389 65815 88133 96662 112778 131630 176266 223771 241655 281945 304201 408053 440665 447542 483310 563890 608402 816106 881330 1118855 1408441 1498261 1521005 2040265 2237710 2816882 2996522 3042010 4080530 5171417 6936901 7042205 7491305 9430231 10342834 13873802 14084410 14982610 18860462 23943497 25857085 34684505 37422409 43661671 47151155 47886994 51714170 69369010 74844818 87323342 94302310 119717485 160313927 187112045 218308355 239434970 320627854 374224090 436616710 636180953 742248407 801569635 1160094679 1272361906 1484496814 1603139270 2320189358 3180904765 3711242035 4004197763 5800473395 6361809530 7422484070 8008395526 11600946790 19721609543 20020988815 39443219086 40041977630 68071361971 98608047715 124130130653 136142723942 197216095430 248260261306 340356809855 620650653265 680713619710 1241301306530 2110212221101 4220424442202 10551061105505 21102122211010