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13401231034300 = 22521731367369233
BaseRepresentation
bin1100001100000011011110…
…0111011000011110111100
31202110010220211110220212021
43003000313213120132330
53224031210121044200
644300235054045524
72552130666204604
oct303006747303674
952403824426767
1013401231034300
1142a748060540a
1216052b91a98a4
13762966365905
143448a18b5c04
151838e419b41a
hexc30379d87bc

13401231034300 has 144 divisors (see below), whose sum is σ = 31793679574272. Its totient is φ = 4881022156800.

The previous prime is 13401231034297. The next prime is 13401231034313. The reversal of 13401231034300 is 343013210431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193532484 + ... + 193601716.

It is an arithmetic number, because the mean of its divisors is an integer number (220789441488).

Almost surely, 213401231034300 is an apocalyptic number.

13401231034300 is a gapful number since it is divisible by the number (10) 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 13401231034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896839787136).

13401231034300 is an abundant number, since it is smaller than the sum of its proper divisors (18392448539972).

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

13401231034300 is a wasteful number, since it uses less digits than its factorization.

13401231034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72968 (or 72961 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13401231034300 its reverse (343013210431), we get a palindrome (13744244244731).

The spelling of 13401231034300 in words is "thirteen trillion, four hundred one billion, two hundred thirty-one million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2635 3100 3673 5270 7346 10540 13175 14692 18365 26350 36730 52700 62441 69233 73460 91825 113863 124882 138466 183650 227726 249764 276932 312205 346165 367300 455452 569315 624410 692330 1138630 1176961 1248820 1384660 1561025 1730825 1935671 2146223 2277260 2353922 2846575 3122050 3461650 3871342 4292446 4707844 5693150 5884805 6244100 6923300 7742684 8584892 9678355 10731115 11386300 11769610 19356710 21462230 23539220 29424025 36485791 38713420 42924460 48391775 53655575 58848050 72971582 96783550 107311150 117696100 145943164 182428955 193567100 214622300 254292809 364857910 508585618 729715820 912144775 1017171236 1271464045 1824289550 2542928090 3648579100 4322977753 5085856180 6357320225 7883077079 8645955506 12714640450 15766154158 17291911012 21614888765 25429280900 31532308316 39415385395 43229777530 78830770790 86459555060 108074443825 134012310343 157661541580 197076926975 216148887650 268024620686 394153853950 432297775300 536049241372 670061551715 788307707900 1340123103430 2680246206860 3350307758575 6700615517150 13401231034300