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131334324 = 2231123181239
BaseRepresentation
bin1111101010000…
…00000010110100
3100011010110211020
413311000002310
5232110144244
621010541140
73153215622
oct765000264
9304113736
10131334324
1168153470
1237b977b0
1321294c24
141362a512
15b7e3d19
hex7d400b4

131334324 has 96 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 37699200.

The previous prime is 131334319. The next prime is 131334331. The reversal of 131334324 is 423433131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131334294 and 131334303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549397 + ... + 549635.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2131334324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131334324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

131334324 is an abundant number, since it is smaller than the sum of its proper divisors (220901196).

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

131334324 is a wasteful number, since it uses less digits than its factorization.

131334324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 131334324 is about 11460.1188475513. The cubic root of 131334324 is about 508.3069888942.

Adding to 131334324 its reverse (423433131), we get a palindrome (554767455).

The spelling of 131334324 in words is "one hundred thirty-one million, three hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 181 239 253 276 362 478 506 543 717 724 759 956 1012 1086 1434 1518 1991 2172 2629 2868 3036 3982 4163 5258 5497 5973 7887 7964 8326 10516 10994 11946 12489 15774 16491 16652 21988 23892 24978 31548 32982 43259 45793 49956 60467 65964 86518 91586 120934 129777 137379 173036 181401 183172 241868 259554 274758 362802 475849 519108 549516 725604 951698 994957 1427547 1903396 1989914 2855094 2984871 3979828 5710188 5969742 10944527 11939484 21889054 32833581 43778108 65667162 131334324