Search a number
-
+
131612050 = 252193141109
BaseRepresentation
bin1111101100000…
…11110110010010
3100011122120210101
413312003312102
5232143041200
621020523014
73155453413
oct766036622
9304576711
10131612050
1168323099
12380b046a
132136146b
141369d80a
15b84b26a
hex7d83d92

131612050 has 96 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 46656000.

The previous prime is 131612023. The next prime is 131612099. The reversal of 131612050 is 50216131.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 1207396 + ... + 1207504.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2131612050 is an apocalyptic number.

131612050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131612050 is an abundant number, since it is smaller than the sum of its proper divisors (143370350).

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

131612050 is a wasteful number, since it uses less digits than its factorization.

131612050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 131612050 is about 11472.2295130458. The cubic root of 131612050 is about 508.6650335923.

Adding to 131612050 its reverse (50216131), we get a palindrome (181828181).

It can be divided in two parts, 1316 and 12050, that added together give a triangular number (13366 = T163).

The spelling of 131612050 in words is "one hundred thirty-one million, six hundred twelve thousand, fifty".

Divisors: 1 2 5 10 19 25 31 38 41 50 62 82 95 109 155 190 205 218 310 410 475 545 589 775 779 950 1025 1090 1178 1271 1550 1558 2050 2071 2542 2725 2945 3379 3895 4142 4469 5450 5890 6355 6758 7790 8938 10355 12710 14725 16895 19475 20710 22345 24149 29450 31775 33790 38950 44690 48298 51775 63550 64201 84475 84911 103550 111725 120745 128402 138539 168950 169822 223450 241490 277078 321005 424555 603725 642010 692695 849110 1207450 1385390 1605025 2122775 2632241 3210050 3463475 4245550 5264482 6926950 13161205 26322410 65806025 131612050