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131287716 = 22347107541
BaseRepresentation
bin1111101001101…
…00101010100100
3100011001002220000
413310310222210
5232102201331
621005541300
73152633010
oct764645244
9304032800
10131287716
116812144a
1237b74830
1321279951
1413617540
15b7d50e6
hex7d34aa4

131287716 has 120 divisors (see below), whose sum is σ = 396639936. Its totient is φ = 37091520.

The previous prime is 131287711. The next prime is 131287747. The reversal of 131287716 is 617782131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131287711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 242406 + ... + 242946.

Almost surely, 2131287716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131287716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198319968).

131287716 is an abundant number, since it is smaller than the sum of its proper divisors (265352220).

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

131287716 is a wasteful number, since it uses less digits than its factorization.

131287716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 131287716 is about 11458.0851803432. The cubic root of 131287716 is about 508.2468523549.

The spelling of 131287716 in words is "one hundred thirty-one million, two hundred eighty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 189 214 252 321 324 378 428 541 567 642 749 756 963 1082 1134 1284 1498 1623 1926 2164 2247 2268 2889 2996 3246 3787 3852 4494 4869 5778 6492 6741 7574 8667 8988 9738 11361 11556 13482 14607 15148 17334 19476 20223 22722 26964 29214 34083 34668 40446 43821 45444 57887 58428 60669 68166 80892 87642 102249 115774 121338 136332 173661 175284 204498 231548 242676 306747 347322 405209 408996 520983 613494 694644 810418 1041966 1215627 1226988 1562949 1620836 2083932 2431254 3125898 3646881 4688847 4862508 6251796 7293762 9377694 10940643 14587524 18755388 21881286 32821929 43762572 65643858 131287716