Search a number
-
+
1001103322310 = 2571328312293163
BaseRepresentation
bin11101001000101100110…
…10000110110011000110
310112201000121112000011022
432210112122012303012
5112400224422303220
62043522302311142
7132220162560110
oct16442632066306
93481017460138
101001103322310
113566247aa313
1214202b5884b2
1373532a40790
143664cbac3b0
151b093556925
hexe916686cc6

1001103322310 has 128 divisors (see below), whose sum is σ = 2228180935680. Its totient is φ = 315356530176.

The previous prime is 1001103322309. The next prime is 1001103322321. The reversal of 1001103322310 is 132233011001.

It is a super-2 number, since 2×10011033223102 (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 316502789 + ... + 316505951.

It is an arithmetic number, because the mean of its divisors is an integer number (17407663560).

Almost surely, 21001103322310 is an apocalyptic number.

1001103322310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001103322310 is an abundant number, since it is smaller than the sum of its proper divisors (1227077613370).

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

1001103322310 is a wasteful number, since it uses less digits than its factorization.

1001103322310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1001103322310 its reverse (132233011001), we get a palindrome (1133336333311).

The spelling of 1001103322310 in words is "one trillion, one billion, one hundred three million, three hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 283 455 566 910 1229 1415 1981 2458 2830 3163 3679 3962 6145 6326 7358 8603 9905 12290 15815 15977 17206 18395 19810 22141 25753 31630 31954 36790 41119 43015 44282 51506 79885 82238 86030 110705 111839 128765 159770 205595 221410 223678 257530 287833 347807 411190 559195 575666 695614 895129 1118390 1439165 1739035 1790258 2434649 2878330 3478070 3887327 4475645 4521491 4869298 6265903 7774654 8951290 9042982 11636677 12173245 12531806 19436635 22607455 23273354 24346490 27211289 31329515 31650437 38873270 45214910 50535251 54422578 58183385 62659030 63300874 81456739 101070502 116366770 136056445 158252185 162913478 252676255 272112890 316504370 353746757 407283695 505352510 707493514 814567390 1100113541 1768733785 2200227082 3537467570 5500567705 7700794787 11001135410 14301476033 15401589574 28602952066 38503973935 71507380165 77007947870 100110332231 143014760330 200220664462 500551661155 1001103322310