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131930316 = 2233747279
BaseRepresentation
bin1111101110100…
…01100011001100
3100012020202101000
413313101203030
5232233232231
621031420300
73161250330
oct767214314
9305222330
10131930316
1168520221
1238224690
132144329b
14137437c0
15b8b06e6
hex7dd18cc

131930316 has 144 divisors (see below), whose sum is σ = 404454400. Its totient is φ = 36425376.

The previous prime is 131930299. The next prime is 131930347. The reversal of 131930316 is 613039131.

131930316 is a `hidden beast` number, since 1 + 319 + 30 + 316 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131930316.

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, 1669965 + ... + 1670043.

Almost surely, 2131930316 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 131930316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202227200).

131930316 is an abundant number, since it is smaller than the sum of its proper divisors (272524084).

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

131930316 is a wasteful number, since it uses less digits than its factorization.

131930316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 131930316 is about 11486.0922858908. The cubic root of 131930316 is about 509.0747237008.

Adding to 131930316 its reverse (613039131), we get a palindrome (744969447).

The spelling of 131930316 in words is "one hundred thirty-one million, nine hundred thirty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 79 84 94 108 126 141 158 188 189 237 252 282 316 329 378 423 474 553 564 658 711 756 846 948 987 1106 1269 1316 1422 1659 1692 1974 2133 2209 2212 2538 2844 2961 3318 3713 3948 4266 4418 4977 5076 5922 6627 6636 7426 8532 8836 8883 9954 11139 11844 13254 14852 14931 15463 17766 19881 19908 22278 25991 26508 29862 30926 33417 35532 39762 44556 46389 51982 59643 59724 61852 66834 77973 79524 92778 100251 103964 119286 133668 139167 155946 174511 185556 200502 233919 238572 278334 311892 349022 401004 417501 467838 523533 556668 698044 701757 835002 935676 1047066 1221577 1403514 1570599 1670004 2094132 2443154 2807028 3141198 3664731 4711797 4886308 6282396 7329462 9423594 10994193 14658924 18847188 21988386 32982579 43976772 65965158 131930316