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13124442343350 = 23521323116700951
BaseRepresentation
bin1011111011111100010110…
…1110010100011110110110
31201110200110221201120020010
42332333011232110132312
53210012324214441400
643525141403521050
72523131626150212
oct276770556243666
951420427646203
1013124442343350
114200054605158
12157b731229186
1374282530cb00
14335325349942
1517b5e463c450
hexbefc5b947b6

13124442343350 has 144 divisors (see below), whose sum is σ = 36381888267264. Its totient is φ = 3126417840000.

The previous prime is 13124442343321. The next prime is 13124442343367. The reversal of 13124442343350 is 5334324442131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13124442343299 and 13124442343308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7564626 + ... + 9136325.

It is an arithmetic number, because the mean of its divisors is an integer number (252652001856).

Almost surely, 213124442343350 is an apocalyptic number.

13124442343350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13124442343350 is an abundant number, since it is smaller than the sum of its proper divisors (23257445923914).

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

13124442343350 is a wasteful number, since it uses less digits than its factorization.

13124442343350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16701023 (or 16701005 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 13124442343350 its reverse (5334324442131), we get a palindrome (18458766785481).

The spelling of 13124442343350 in words is "thirteen trillion, one hundred twenty-four billion, four hundred forty-two million, three hundred forty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 130 150 155 169 186 195 310 325 338 390 403 465 507 650 775 806 845 930 975 1014 1209 1550 1690 1950 2015 2325 2418 2535 4030 4225 4650 5070 5239 6045 8450 10075 10478 12090 12675 15717 20150 25350 26195 30225 31434 52390 60450 78585 130975 157170 261950 392925 785850 16700951 33401902 50102853 83504755 100205706 167009510 217112363 250514265 417523775 434224726 501028530 517729481 651337089 835047550 1035458962 1085561815 1252571325 1302674178 1553188443 2171123630 2505142650 2588647405 2822460719 3106376886 3256685445 5177294810 5427809075 5644921438 6513370890 6730483253 7765942215 8467382157 10855618150 12943237025 13460966506 14112303595 15531884430 16283427225 16934764314 20191449759 25886474050 28224607190 32566854450 33652416265 38829711075 40382899518 42336910785 67304832530 70561517975 77659422150 84673821570 87496282289 100957248795 141123035950 168262081325 174992564578 201914497590 211684553925 262488846867 336524162650 423369107850 437481411445 504786243975 524977693734 874962822890 1009572487950 1312444234335 2187407057225 2624888468670 4374814114450 6562221171675 13124442343350