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125231220 = 223254171239
BaseRepresentation
bin1110111011011…
…10000001110100
322201122101221100
413131232001310
5224024344340
620232050100
73050306412
oct735560164
9281571840
10125231220
1164765084
1235b33930
131cc3901a
14128bc2b2
15aeda830
hex776e074

125231220 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 31987200.

The previous prime is 125231219. The next prime is 125231263. The reversal of 125231220 is 22132521.

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 = 125231193 and 125231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523861 + ... + 524099.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2125231220 is an apocalyptic number.

125231220 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 125231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

125231220 is an abundant number, since it is smaller than the sum of its proper divisors (271033740).

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

125231220 is a wasteful number, since it uses less digits than its factorization.

125231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

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

The square root of 125231220 is about 11190.6755828234. The cubic root of 125231220 is about 500.3081034389.

Adding to 125231220 its reverse (22132521), we get a palindrome (147363741).

The spelling of 125231220 in words is "one hundred twenty-five million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 71 82 90 123 142 164 180 205 213 239 246 284 355 369 410 426 478 492 615 639 710 717 738 820 852 956 1065 1195 1230 1278 1420 1434 1476 1845 2130 2151 2390 2460 2556 2868 2911 3195 3585 3690 4260 4302 4780 5822 6390 7170 7380 8604 8733 9799 10755 11644 12780 14340 14555 16969 17466 19598 21510 26199 29110 29397 33938 34932 39196 43020 43665 48995 50907 52398 58220 58794 67876 84845 87330 88191 97990 101814 104796 117588 130995 146985 152721 169690 174660 176382 195980 203628 254535 261990 293970 305442 339380 352764 440955 509070 523980 587940 610884 695729 763605 881910 1018140 1391458 1527210 1763820 2087187 2782916 3054420 3478645 4174374 6261561 6957290 8348748 10435935 12523122 13914580 20871870 25046244 31307805 41743740 62615610 125231220