Search a number
-
+
124130402310 = 23573241479491
BaseRepresentation
bin111001110011010111…
…1111010000000000110
3102212101212020210021210
41303212233322000012
54013204340333220
6133005201152250
711653032003435
oct1634657720006
9385355223253
10124130402310
1148709415552
122008302b686
13b922b356c5
146017b2311c
1533678d86e0
hex1ce6bfa006

124130402310 has 128 divisors (see below), whose sum is σ = 304499036160. Its totient is φ = 32378572800.

The previous prime is 124130402281. The next prime is 124130402321. The reversal of 124130402310 is 13204031421.

It is a super-2 number, since 2×1241304023102 (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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252811165 + ... + 252811655.

It is an arithmetic number, because the mean of its divisors is an integer number (2378898720).

Almost surely, 2124130402310 is an apocalyptic number.

124130402310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124130402310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152249518080).

124130402310 is an abundant number, since it is smaller than the sum of its proper divisors (180368633850).

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

124130402310 is a wasteful number, since it uses less digits than its factorization.

124130402310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 124130402310 its reverse (13204031421), we get a palindrome (137334433731).

The spelling of 124130402310 in words is "one hundred twenty-four billion, one hundred thirty million, four hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 241 365 438 479 482 491 723 730 958 982 1095 1205 1437 1446 1473 2190 2395 2410 2455 2874 2946 3615 4790 4910 7185 7230 7365 14370 14730 17593 34967 35186 35843 52779 69934 71686 87965 104901 105558 107529 115439 118331 174835 175930 179215 209802 215058 230878 235189 236662 263895 346317 349670 354993 358430 470378 524505 527790 537645 577195 591655 692634 705567 709986 1049010 1075290 1154390 1175945 1183310 1411134 1731585 1774965 2351890 3463170 3527835 3549930 7055670 8427047 8638163 16854094 17168797 17276326 25281141 25914489 34337594 42135235 43190815 50562282 51506391 51828978 56680549 84270470 85843985 86381630 103012782 113361098 126405705 129572445 170041647 171687970 252811410 257531955 259144890 283402745 340083294 515063910 566805490 850208235 1700416470 4137680077 8275360154 12413040231 20688400385 24826080462 41376800770 62065201155 124130402310