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131122149 = 32367113251
BaseRepresentation
bin1111101000011…
…00001111100101
3100010201200202220
413310030033211
5232031402044
621002222553
73151343214
oct764141745
9303650686
10131122149
1168019014
1237ab4a59
132121c492
14135b307b
15b7a1019
hex7d0c3e5

131122149 has 32 divisors (see below), whose sum is σ = 187536384. Its totient is φ = 81312000.

The previous prime is 131122133. The next prime is 131122153. The reversal of 131122149 is 941221131.

It is not a de Polignac number, because 131122149 - 24 = 131122133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522274 + ... + 522524.

It is an arithmetic number, because the mean of its divisors is an integer number (5860512).

Almost surely, 2131122149 is an apocalyptic number.

It is an amenable number.

131122149 is a deficient number, since it is larger than the sum of its proper divisors (56414235).

131122149 is a wasteful number, since it uses less digits than its factorization.

131122149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457.

The product of its digits is 432, while the sum is 24.

The square root of 131122149 is about 11450.8580027874. The cubic root of 131122149 is about 508.0331123662.

The spelling of 131122149 in words is "one hundred thirty-one million, one hundred twenty-two thousand, one hundred forty-nine".

Divisors: 1 3 23 67 69 113 201 251 339 753 1541 2599 4623 5773 7571 7797 16817 17319 22713 28363 50451 85089 174133 386791 522399 652349 1160373 1900321 1957047 5700963 43707383 131122149