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131430330 = 23354710357
BaseRepresentation
bin1111101010101…
…11011110111010
3100011022100112000
413311113132322
5232121232310
621013001430
73154065543
oct765273672
9304270460
10131430330
1168209609
1238023276
13212c9835
14136534ca
15b8124c0
hex7d577ba

131430330 has 64 divisors (see below), whose sum is σ = 357972480. Its totient is φ = 34299072.

The previous prime is 131430319. The next prime is 131430371. The reversal of 131430330 is 33034131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7512 + ... + 17868.

It is an arithmetic number, because the mean of its divisors is an integer number (5593320).

Almost surely, 2131430330 is an apocalyptic number.

131430330 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 131430330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178986240).

131430330 is an abundant number, since it is smaller than the sum of its proper divisors (226542150).

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

131430330 is a wasteful number, since it uses less digits than its factorization.

131430330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131430330 is about 11464.3067823571. The cubic root of 131430330 is about 508.4308169816.

Adding to 131430330 its reverse (33034131), we get a palindrome (164464461).

The spelling of 131430330 in words is "one hundred thirty-one million, four hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 10357 12690 20714 31071 51785 62142 93213 103570 155355 186426 279639 310710 466065 486779 559278 932130 973558 1398195 1460337 2433895 2796390 2920674 4381011 4867790 7301685 8762022 13143033 14603370 21905055 26286066 43810110 65715165 131430330