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131433330 = 23576131021
BaseRepresentation
bin1111101010110…
…00001101110010
3100011022111122010
413311120031302
5232121331310
621013023350
73154110360
oct765301562
9304274563
10131433330
1168210896
1238024b56
13212cb002
1413654630
15b813320
hex7d58372

131433330 has 64 divisors (see below), whose sum is σ = 361444608. Its totient is φ = 29963520.

The previous prime is 131433329. The next prime is 131433353. The reversal of 131433330 is 33334131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131433297 and 131433306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128220 + ... + 129240.

It is an arithmetic number, because the mean of its divisors is an integer number (5647572).

Almost surely, 2131433330 is an apocalyptic number.

131433330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131433330 is an abundant number, since it is smaller than the sum of its proper divisors (230011278).

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

131433330 is a wasteful number, since it uses less digits than its factorization.

131433330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 131433330 is about 11464.4376224916. The cubic root of 131433330 is about 508.4346853958.

Adding to 131433330 its reverse (33334131), we get a palindrome (164767461).

The spelling of 131433330 in words is "one hundred thirty-one million, four hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 613 1021 1226 1839 2042 3063 3065 3678 4291 5105 6126 6130 7147 8582 9195 10210 12873 14294 15315 18390 21441 21455 25746 30630 35735 42882 42910 64365 71470 107205 128730 214410 625873 1251746 1877619 3129365 3755238 4381111 6258730 8762222 9388095 13143333 18776190 21905555 26286666 43811110 65716665 131433330