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531325103220 = 223258933166361
BaseRepresentation
bin1111011101101010111…
…00011010110001110100
31212210102221220211111200
413232311130122301310
532201123211300340
61044030512532500
753246505601032
oct7566534326164
91783387824450
10531325103220
1119537419515a
1286b83851130
133b146bca002
141ba05645552
15dc4ac5a330
hex7bb571ac74

531325103220 has 72 divisors (see below), whose sum is σ = 1629795028680. Its totient is φ = 140094704640.

The previous prime is 531325103203. The next prime is 531325103237. The reversal of 531325103220 is 22301523135.

It is a happy number.

531325103220 is a `hidden beast` number, since 5 + 3 + 1 + 325 + 10 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (531325103203) and next prime (531325103237).

It can be written as a sum of positive squares in 4 ways, for example, as 20997748836 + 510327354384 = 144906^2 + 714372^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16567161 + ... + 16599200.

It is an arithmetic number, because the mean of its divisors is an integer number (22636042065).

Almost surely, 2531325103220 is an apocalyptic number.

It is an amenable number.

531325103220 is an abundant number, since it is smaller than the sum of its proper divisors (1098469925460).

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

531325103220 is a wasteful number, since it uses less digits than its factorization.

531325103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33166465 (or 33166460 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 531325103220 its reverse (22301523135), we get a palindrome (553626626355).

The spelling of 531325103220 in words is "five hundred thirty-one billion, three hundred twenty-five million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 16020 33166361 66332722 99499083 132665444 165831805 198998166 298497249 331663610 397996332 497495415 596994498 663327220 994990830 1193988996 1492486245 1989981660 2951806129 2984972490 5903612258 5969944980 8855418387 11807224516 14759030645 17710836774 26566255161 29518061290 35421673548 44277091935 53132510322 59036122580 88554183870 106265020644 132831275805 177108367740 265662551610 531325103220