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52331123430 = 232512719312371
BaseRepresentation
bin110000101111001011…
…011001001011100110
312000002001020111210200
4300233023121023212
51324133231422210
640012433331330
73531546131655
oct605713311346
9160061214720
1052331123430
1120214611643
12a185706b46
134c1c9c12c1
14276618119c
1515643630c0
hexc2f2d92e6

52331123430 has 96 divisors (see below), whose sum is σ = 137261150208. Its totient is φ = 13832078400.

The previous prime is 52331123423. The next prime is 52331123479. The reversal of 52331123430 is 3432113325.

52331123430 is a `hidden beast` number, since 5 + 2 + 3 + 311 + 2 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52331123394 and 52331123403.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22070145 + ... + 22072515.

It is an arithmetic number, because the mean of its divisors is an integer number (1429803648).

Almost surely, 252331123430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52331123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68630575104).

52331123430 is an abundant number, since it is smaller than the sum of its proper divisors (84930026778).

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

52331123430 is a wasteful number, since it uses less digits than its factorization.

52331123430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 52331123430 its reverse (3432113325), we get a palindrome (55763236755).

The spelling of 52331123430 in words is "fifty-two billion, three hundred thirty-one million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 1931 2286 2371 3810 3862 4742 5715 5793 7113 9655 11430 11586 11855 14226 17379 19310 21339 23710 28965 34758 35565 42678 57930 71130 86895 106695 173790 213390 245237 301117 490474 602234 735711 903351 1226185 1471422 1505585 1806702 2207133 2452370 2710053 3011170 3678555 4414266 4516755 4578401 5420106 7357110 9033510 9156802 11035665 13550265 13735203 22071330 22892005 27100530 27470406 41205609 45784010 68676015 82411218 137352030 206028045 412056090 581456927 1162913854 1744370781 2907284635 3488741562 5233112343 5814569270 8721853905 10466224686 17443707810 26165561715 52331123430