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503415362130 = 235312129713463
BaseRepresentation
bin1110101001101011110…
…01001101001001010010
31210010101212211002022020
413110311321031021102
531221443313042010
61023133230152310
751241046655342
oct7246571151122
91703355732266
10503415362130
1118455193662a
1281694952696
13386198c2005
141a518a6cd22
15d1658c2470
hex7535e4d252

503415362130 has 96 divisors (see below), whose sum is σ = 1249483542912. Its totient is φ = 129803834880.

The previous prime is 503415362117. The next prime is 503415362159. The reversal of 503415362130 is 31263514305.

It is a junction number, because it is equal to n+sod(n) for n = 503415362091 and 503415362100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37385779 + ... + 37399241.

It is an arithmetic number, because the mean of its divisors is an integer number (13015453572).

Almost surely, 2503415362130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503415362130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624741771456).

503415362130 is an abundant number, since it is smaller than the sum of its proper divisors (746068180782).

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

503415362130 is a wasteful number, since it uses less digits than its factorization.

503415362130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14832 (or 14801 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 503415362130 its reverse (31263514305), we get a palindrome (534678876435).

The spelling of 503415362130 in words is "five hundred three billion, four hundred fifteen million, three hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1297 1922 2594 2883 3891 4805 5766 6485 7782 9610 12970 13463 14415 19455 26926 28830 38910 40207 40389 67315 80414 80778 120621 134630 201035 201945 241242 402070 403890 417353 603105 834706 1206210 1246417 1252059 2086765 2492834 2504118 3739251 4173530 6232085 6260295 7478502 12464170 12520590 12937943 17461511 18696255 25875886 34923022 37392510 38813829 52384533 64689715 77627658 87307555 104769066 129379430 174615110 194069145 261922665 388138290 523845330 541306841 1082613682 1623920523 2706534205 3247841046 5413068410 8119602615 16239205230 16780512071 33561024142 50341536213 83902560355 100683072426 167805120710 251707681065 503415362130