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125353202340 = 223514930745673
BaseRepresentation
bin111010010111110100…
…0100001001010100100
3102222120002011110120210
41310233220201022210
54023210404433330
6133330402055420
712025240432212
oct1645750411244
9388502143523
10125353202340
1149186684293
122036464a570
13ba89280912
1460d22a9cb2
1533d9e298b0
hex1d2fa212a4

125353202340 has 96 divisors (see below), whose sum is σ = 354503318400. Its totient is φ = 33094296576.

The previous prime is 125353202291. The next prime is 125353202347. The reversal of 125353202340 is 43202353521.

125353202340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 125353202298 and 125353202307.

It is not an unprimeable number, because it can be changed into a prime (125353202347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2721744 + ... + 2767416.

It is an arithmetic number, because the mean of its divisors is an integer number (3692742900).

Almost surely, 2125353202340 is an apocalyptic number.

125353202340 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 125353202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177251659200).

125353202340 is an abundant number, since it is smaller than the sum of its proper divisors (229150116060).

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

125353202340 is a wasteful number, since it uses less digits than its factorization.

125353202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46141 (or 46139 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 125353202340 its reverse (43202353521), we get a palindrome (168555555861).

The spelling of 125353202340 in words is "one hundred twenty-five billion, three hundred fifty-three million, two hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 307 447 596 614 745 894 921 1228 1490 1535 1788 1842 2235 2980 3070 3684 4470 4605 6140 8940 9210 18420 45673 45743 91346 91486 137019 137229 182692 182972 228365 228715 274038 274458 456730 457430 548076 548916 685095 686145 913460 914860 1370190 1372290 2740380 2744580 6805277 13610554 14021611 20415831 27221108 28043222 34026385 40831662 42064833 56086444 68052770 70108055 81663324 84129666 102079155 136105540 140216110 168259332 204158310 210324165 280432220 408316620 420648330 841296660 2089220039 4178440078 6267660117 8356880156 10446100195 12535320234 20892200390 25070640468 31338300585 41784400780 62676601170 125353202340