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125122320 = 2434519309
BaseRepresentation
bin1110111010100…
…11011100010000
322201102212120000
413131103130100
5224012403240
620225450000
73046344051
oct735233420
9281385500
10125122320
11646a0284
1235aa0900
131cbcb59b
1412890728
15aeb8430
hex7753710

125122320 has 100 divisors (see below), whose sum is σ = 434590860. Its totient is φ = 33364224.

The previous prime is 125122289. The next prime is 125122321. The reversal of 125122320 is 23221521.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 95179536 = 5472^2 + 9756^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 125122293 and 125122302.

It is not an unprimeable number, because it can be changed into a prime (125122321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3175 + ... + 16134.

Almost surely, 2125122320 is an apocalyptic number.

125122320 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 125122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217295430).

125122320 is an abundant number, since it is smaller than the sum of its proper divisors (309468540).

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

125122320 is a wasteful number, since it uses less digits than its factorization.

125122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19334 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125122320 is about 11185.8088665952. The cubic root of 125122320 is about 500.1630401634.

Adding to 125122320 its reverse (23221521), we get a palindrome (148343841).

The spelling of 125122320 in words is "one hundred twenty-five million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 19309 38618 57927 77236 96545 115854 154472 173781 193090 231708 289635 308944 347562 386180 463416 521343 579270 695124 772360 868905 926832 1042686 1158540 1390248 1544720 1564029 1737810 2085372 2317080 2606715 2780496 3128058 3475620 4170744 4634160 5213430 6256116 6951240 7820145 8341488 10426860 12512232 13902480 15640290 20853720 25024464 31280580 41707440 62561160 125122320