Search a number
-
+
240310001012120 = 235133186837171673
BaseRepresentation
bin110110101000111110001000…
…001111110000110110011000
31011111212102010011011011010022
4312220332020033300312120
5222444214340224341440
62211032520155210012
7101421552563452514
oct6650761017606630
91144772104134108
10240310001012120
116a62a998780096
1222b51831146908
13a41219c6382a0
14434b0cd589144
151cbb034477cb5
hexda8f883f0d98

240310001012120 has 128 divisors (see below), whose sum is σ = 601083577059840. Its totient is φ = 85866104401920.

The previous prime is 240310001012119. The next prime is 240310001012171. The reversal of 240310001012120 is 21210100013042.

240310001012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399726604 + ... + 1399898276.

It is an arithmetic number, because the mean of its divisors is an integer number (4695965445780).

Almost surely, 2240310001012120 is an apocalyptic number.

240310001012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240310001012120 is an abundant number, since it is smaller than the sum of its proper divisors (360773576047720).

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

240310001012120 is a wasteful number, since it uses less digits than its factorization.

240310001012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258565 (or 258561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 240310001012120 its reverse (21210100013042), we get a palindrome (261520101025162).

The spelling of 240310001012120 in words is "two hundred forty trillion, three hundred ten billion, one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 16120 86837 171673 173674 343346 347348 434185 686692 694696 858365 868370 1128881 1373384 1716730 1736740 2231749 2257762 2691947 3433460 3473480 4463498 4515524 5321863 5383894 5644405 6866920 8926996 9031048 10643726 10767788 11158745 11288810 13459735 17853992 21287452 21535576 22317490 22577620 26609315 26919470 34995311 42574904 44634980 45155240 53218630 53838940 69184219 69990622 89269960 106437260 107677880 138368438 139981244 174976555 212874520 276736876 279962488 345921095 349953110 553473752 691842190 699906220 1383684380 1399812440 2767368760 14907568301 29815136602 59630273204 74537841505 119260546408 149075683010 193798387913 298151366020 387596775826 462134617331 596302732040 775193551652 924269234662 968991939565 1550387103304 1848538469324 1937983879130 2310673086655 3697076938648 3875967758260 4621346173310 6007750025303 7751935516520 9242692346620 12015500050606 18485384693240 24031000101212 30038750126515 48062000202424 60077500253030 120155000506060 240310001012120