Search a number
-
+
120310101310 = 25722331344363
BaseRepresentation
bin111000000001100001…
…0100111010100111110
3102111112121200101112011
41300003002213110332
53432343341220220
6131134131001434
711456252662600
oct1600302472476
9374477611464
10120310101310
1147028a088a3
121b39773927a
13b464510b79
145b745c9170
1531e230c65a
hex1c030a753e

120310101310 has 96 divisors (see below), whose sum is σ = 271347812352. Its totient is φ = 38182858560.

The previous prime is 120310101253. The next prime is 120310101347. The reversal of 120310101310 is 13101013021.

It is a super-2 number, since 2×1203101013102 (a number of 23 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177189 + ... + 521551.

It is an arithmetic number, because the mean of its divisors is an integer number (2826539712).

Almost surely, 2120310101310 is an apocalyptic number.

120310101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120310101310 is an abundant number, since it is smaller than the sum of its proper divisors (151037711042).

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

120310101310 is a wasteful number, since it uses less digits than its factorization.

120310101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344438 (or 344431 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 120310101310 its reverse (13101013021), we get a palindrome (133411114331).

The spelling of 120310101310 in words is "one hundred twenty billion, three hundred ten million, one hundred one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 23 31 35 46 49 62 70 98 115 155 161 217 230 245 310 322 434 490 713 805 1085 1127 1426 1519 1610 2170 2254 3038 3565 4991 5635 7130 7595 9982 11270 15190 24955 34937 49910 69874 174685 344363 349370 688726 1721815 2410541 3443630 4821082 7920349 10675253 12052705 15840698 16873787 21350506 24105410 33747574 39601745 53376265 55442443 74726771 79203490 84368935 106752530 110884886 149453542 168737870 245530819 277212215 373633855 388097101 491061638 523087397 554424430 747267710 776194202 1046174794 1227654095 1718715733 1940485505 2455308190 2615436985 3437431466 3880971010 5230873970 8593578665 12031010131 17187157330 24062020262 60155050655 120310101310