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5210103426 = 2311210965839
BaseRepresentation
bin1001101101000101…
…11101111010000010
3111110002201200021120
410312202331322002
541132241302201
62220554333110
7243053101623
oct46642757202
914402650246
105210103426
112233a70900
121014a2a196
13650542848
14375d53a4a
15207609536
hex1368bde82

5210103426 has 48 divisors (see below), whose sum is σ = 11558870400. Its totient is φ = 1564310880.

The previous prime is 5210103421. The next prime is 5210103461. The reversal of 5210103426 is 6243010125.

It is a junction number, because it is equal to n+sod(n) for n = 5210103396 and 5210103405.

It is not an unprimeable number, because it can be changed into a prime (5210103421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46215 + ... + 112053.

It is an arithmetic number, because the mean of its divisors is an integer number (240809800).

Almost surely, 25210103426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5210103426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779435200).

5210103426 is an abundant number, since it is smaller than the sum of its proper divisors (6348766974).

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

5210103426 is a wasteful number, since it uses less digits than its factorization.

5210103426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65975 (or 65964 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5210103426 is about 72181.0461686446. The cubic root of 5210103426 is about 1733.5995338279.

The spelling of 5210103426 in words is "five billion, two hundred ten million, one hundred three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 654 726 1199 2398 3597 7194 13189 26378 39567 65839 79134 131678 197517 395034 724229 1448458 2172687 4345374 7176451 7966519 14352902 15933038 21529353 23899557 43058706 47799114 78940961 157881922 236822883 473645766 868350571 1736701142 2605051713 5210103426