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131434030 = 25713971489
BaseRepresentation
bin1111101010110…
…00011000101110
3100011022112121001
413311120120232
5232121342110
621013030514
73154112410
oct765303056
9304275531
10131434030
1168211372
123802543a
13212cb420
14136549b0
15b81363a
hex7d5862e

131434030 has 64 divisors (see below), whose sum is σ = 294376320. Its totient is φ = 41140224.

The previous prime is 131434019. The next prime is 131434031. The reversal of 131434030 is 30434131.

It is a junction number, because it is equal to n+sod(n) for n = 131433989 and 131434007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131434031) 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, 87526 + ... + 89014.

It is an arithmetic number, because the mean of its divisors is an integer number (4599630).

Almost surely, 2131434030 is an apocalyptic number.

131434030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131434030 is an abundant number, since it is smaller than the sum of its proper divisors (162942290).

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

131434030 is a wasteful number, since it uses less digits than its factorization.

131434030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 131434030 is about 11464.4681516414. The cubic root of 131434030 is about 508.4355880173.

Adding to 131434030 its reverse (30434131), we get a palindrome (161868161).

It can be divided in two parts, 1314 and 34030, that added together give a square (35344 = 1882).

The spelling of 131434030 in words is "one hundred thirty-one million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 97 130 182 194 455 485 679 910 970 1261 1358 1489 2522 2978 3395 6305 6790 7445 8827 10423 12610 14890 17654 19357 20846 38714 44135 52115 88270 96785 104230 135499 144433 193570 270998 288866 677495 722165 1011031 1354990 1444330 1877629 2022062 3755258 5055155 9388145 10110310 13143403 18776290 26286806 65717015 131434030