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10243002101310 = 23251137279634237
BaseRepresentation
bin1001010100001110001010…
…0000000110111000111110
31100021012222102120000121200
42111003202200012320332
52320310132014220220
633441323055240330
72105014066206126
oct225034240067076
940235872500550
1010243002101310
11329a03a719420
1211951b48190a6
13593bac498a54
14275a9a3adc86
1512b69d70a890
hex950e2806e3e

10243002101310 has 96 divisors (see below), whose sum is σ = 29838091731552. Its totient is φ = 2416039799040.

The previous prime is 10243002101249. The next prime is 10243002101359. The reversal of 10243002101310 is 1310120034201.

10243002101310 is a `hidden beast` number, since 1 + 0 + 2 + 430 + 0 + 210 + 13 + 10 = 666.

It is a super-2 number, since 2×102430021013102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 139780489 + ... + 139853748.

It is an arithmetic number, because the mean of its divisors is an integer number (310813455537).

Almost surely, 210243002101310 is an apocalyptic number.

10243002101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10243002101310 is an abundant number, since it is smaller than the sum of its proper divisors (19595089630242).

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

10243002101310 is a wasteful number, since it uses less digits than its factorization.

10243002101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279634298 (or 279634295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10243002101310 its reverse (1310120034201), we get a palindrome (11553122135511).

The spelling of 10243002101310 in words is "ten trillion, two hundred forty-three billion, two million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 279634237 559268474 838902711 1398171185 1677805422 2516708133 2796342370 3075976607 4194513555 5033416266 6151953214 8389027110 9227929821 10346466769 12583540665 15379883035 18455859642 20692933538 25167081330 27683789463 30759766070 31039400307 46139649105 51732333845 55367578926 62078800614 92279298210 93118200921 103464667690 113811134459 138418947315 155197001535 186236401842 227622268918 276837894630 310394003070 341433403377 465591004605 569055672295 682866806754 931182009210 1024300210131 1138111344590 1707167016885 2048600420262 3414334033770 5121501050655 10243002101310