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125103330 = 2325111071181
BaseRepresentation
bin1110111010011…
…10110011100010
322201101220111200
413131032303202
5224011301310
620225222030
73046234512
oct735166342
9281356450
10125103330
1164687a90
1235a91916
131cbc2a51
1412887842
15aeb29c0
hex774ece2

125103330 has 96 divisors (see below), whose sum is σ = 358458048. Its totient is φ = 30019200.

The previous prime is 125103313. The next prime is 125103337. The reversal of 125103330 is 33301521.

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

It is not an unprimeable number, because it can be changed into a prime (125103337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105340 + ... + 106520.

It is an arithmetic number, because the mean of its divisors is an integer number (3733938).

Almost surely, 2125103330 is an apocalyptic number.

125103330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179229024).

125103330 is an abundant number, since it is smaller than the sum of its proper divisors (233354718).

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

125103330 is a wasteful number, since it uses less digits than its factorization.

125103330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 125103330 is about 11184.9599909879. The cubic root of 125103330 is about 500.1377353878.

Adding to 125103330 its reverse (33301521), we get a palindrome (158404851).

The spelling of 125103330 in words is "one hundred twenty-five million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 107 110 165 198 214 321 330 495 535 642 963 990 1070 1177 1181 1605 1926 2354 2362 3210 3531 3543 4815 5885 5905 7062 7086 9630 10593 10629 11770 11810 12991 17655 17715 21186 21258 25982 35310 35430 38973 52965 53145 64955 77946 105930 106290 116919 126367 129910 194865 233838 252734 379101 389730 584595 631835 758202 1137303 1169190 1263670 1390037 1895505 2274606 2780074 3791010 4170111 5686515 6950185 8340222 11373030 12510333 13900370 20850555 25020666 41701110 62551665 125103330