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43102343120 = 245792131659
BaseRepresentation
bin101000001001000110…
…011000111111010000
311010020212122220012112
4220021012120333100
51201233144434440
631445000444452
73054054604634
oct501106307720
9133225586175
1043102343120
1117309170381
12842aa79728
1340aba1ac55
14212c614dc4
1511c4044965
hexa09198fd0

43102343120 has 120 divisors (see below), whose sum is σ = 102427506720. Its totient is φ = 16867119360.

The previous prime is 43102343117. The next prime is 43102343149. The reversal of 43102343120 is 2134320134.

It is a super-2 number, since 2×431023431202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65405351 + ... + 65406009.

It is an arithmetic number, because the mean of its divisors is an integer number (853562556).

Almost surely, 243102343120 is an apocalyptic number.

43102343120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43102343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51213753360).

43102343120 is an abundant number, since it is smaller than the sum of its proper divisors (59325163600).

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

43102343120 is a wasteful number, since it uses less digits than its factorization.

43102343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 43102343120 its reverse (2134320134), we get a palindrome (45236663254).

The spelling of 43102343120 in words is "forty-three billion, one hundred two million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 131 158 262 316 395 524 632 655 659 790 1048 1264 1310 1318 1580 2096 2620 2636 3160 3295 5240 5272 6241 6320 6590 10349 10480 10544 12482 13180 20698 24964 26360 31205 41396 49928 51745 52061 52720 62410 82792 86329 99856 103490 104122 124820 165584 172658 206980 208244 249640 260305 345316 413960 416488 431645 499280 520610 690632 817571 827920 832976 863290 1041220 1381264 1635142 1726580 2082440 3270284 3453160 4087855 4112819 4164880 6540568 6819991 6906320 8175710 8225638 13081136 13639982 16351420 16451276 20564095 27279964 32702840 32902552 34099955 41128190 54559928 65405680 65805104 68199910 82256380 109119856 136399820 164512760 272799640 329025520 538779289 545599280 1077558578 2155117156 2693896445 4310234312 5387792890 8620468624 10775585780 21551171560 43102343120