Search a number
-
+
123014331310 = 2513191972411049
BaseRepresentation
bin111001010010000111…
…0011011101110101110
3102202112002011111200211
41302210032123232232
54003413132100220
6132302332013034
711613260364223
oct1624416335656
9382462144624
10123014331310
1148196423922
121ba1130117a
13b7a5848a70
145d4d7dd94a
1532ee92ab5a
hex1ca439bbae

123014331310 has 128 divisors (see below), whose sum is σ = 253571472000. Its totient is φ = 42593402880.

The previous prime is 123014331289. The next prime is 123014331317. The reversal of 123014331310 is 13133410321.

It is a super-2 number, since 2×1230143313102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123014331317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117267666 + ... + 117268714.

It is an arithmetic number, because the mean of its divisors is an integer number (1981027125).

Almost surely, 2123014331310 is an apocalyptic number.

123014331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123014331310 is an abundant number, since it is smaller than the sum of its proper divisors (130557140690).

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

123014331310 is a wasteful number, since it uses less digits than its factorization.

123014331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123014331310 its reverse (13133410321), we get a palindrome (136147741631).

The spelling of 123014331310 in words is "one hundred twenty-three billion, fourteen million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 197 241 247 394 482 494 985 1049 1205 1235 1970 2098 2410 2470 2561 3133 3743 4579 5122 5245 6266 7486 9158 10490 12805 13637 15665 18715 19931 22895 25610 27274 31330 37430 39862 45790 47477 48659 59527 68185 94954 97318 99655 119054 136370 199310 206653 237385 243295 252809 259103 297635 413306 474770 486590 505618 518206 595270 617201 902063 1033265 1234402 1264045 1295515 1804126 2066530 2528090 2591030 2686489 3086005 3286517 3926407 4510315 4803371 5372978 6172010 6573034 7852814 9020630 9606742 11726819 13432445 16432585 19632035 23453638 24016855 26864890 32865170 39264070 48033710 49803373 51043291 58634095 62443823 99606746 102086582 117268190 124887646 249016865 255216455 312219115 498033730 510432910 624438230 647443849 946264087 1294887698 1892528174 3237219245 4731320435 6474438490 9462640870 12301433131 24602866262 61507165655 123014331310