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131226030 = 232513591901
BaseRepresentation
bin1111101001001…
…01100110101110
3100010220222021100
413310211212232
5232043213110
621004343530
73152255115
oct764454656
9303828240
10131226030
116808a071
1237b44ba6
1321257850
14135dcc7c
15b7c1bc0
hex7d259ae

131226030 has 96 divisors (see below), whose sum is σ = 373857120. Its totient is φ = 31737600.

The previous prime is 131226023. The next prime is 131226037. The reversal of 131226030 is 30622131.

It is an interprime number because it is at equal distance from previous prime (131226023) and next prime (131226037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131225994 and 131226012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131226037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68080 + ... + 69980.

It is an arithmetic number, because the mean of its divisors is an integer number (3894345).

Almost surely, 2131226030 is an apocalyptic number.

131226030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131226030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186928560).

131226030 is an abundant number, since it is smaller than the sum of its proper divisors (242631090).

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

131226030 is a wasteful number, since it uses less digits than its factorization.

131226030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131226030 is about 11455.3930530558. The cubic root of 131226030 is about 508.1672393548.

Adding to 131226030 its reverse (30622131), we get a palindrome (161848161).

The spelling of 131226030 in words is "one hundred thirty-one million, two hundred twenty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 1901 2301 2655 3802 3835 4602 5310 5703 6903 7670 9505 11406 11505 13806 17109 19010 23010 24713 28515 34218 34515 49426 57030 69030 74139 85545 112159 123565 148278 171090 222417 224318 247130 336477 370695 444834 560795 672954 741390 1009431 1112085 1121590 1458067 1682385 2018862 2224170 2916134 3364770 4374201 5047155 7290335 8748402 10094310 13122603 14580670 21871005 26245206 43742010 65613015 131226030