Search a number
-
+
131021500 = 22533179107
BaseRepresentation
bin1111100111100…
…11101010111100
3100010112120201011
413303303222330
5232020142000
621000125004
73150443611
oct763635274
9303476634
10131021500
1167a5a435
1237a66764
13211b571c
1413588508
15b7812ba
hex7cf3abc

131021500 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 49608000.

The previous prime is 131021497. The next prime is 131021503. The reversal of 131021500 is 5120131.

It is an interprime number because it is at equal distance from previous prime (131021497) and next prime (131021503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021503) 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, 1224447 + ... + 1224553.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2131021500 is an apocalyptic number.

131021500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131021500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

131021500 is an abundant number, since it is smaller than the sum of its proper divisors (170894660).

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

131021500 is a wasteful number, since it uses less digits than its factorization.

131021500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 131021500 is about 11446.4623355865. The cubic root of 131021500 is about 507.9030908204.

Adding to 131021500 its reverse (5120131), we get a palindrome (136141631).

The spelling of 131021500 in words is "one hundred thirty-one million, twenty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 79 100 107 124 125 155 158 214 250 310 316 395 428 500 535 620 775 790 1070 1550 1580 1975 2140 2449 2675 3100 3317 3875 3950 4898 5350 6634 7750 7900 8453 9796 9875 10700 12245 13268 13375 15500 16585 16906 19750 24490 26750 33170 33812 39500 42265 48980 53500 61225 66340 82925 84530 122450 165850 169060 211325 244900 262043 306125 331700 414625 422650 524086 612250 829250 845300 1048172 1056625 1224500 1310215 1658500 2113250 2620430 4226500 5240860 6551075 13102150 26204300 32755375 65510750 131021500