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10103466256 = 2413219332
BaseRepresentation
bin10010110100011011…
…01010100100010000
3222002010110021010221
421122031222210100
5131142441410011
64350320202424
7505242021562
oct113215524420
928063407127
1010103466256
114315163814
121b5b769414
13c50275900
146bbbb7332
153e1ee9971
hex25a36a910

10103466256 has 45 divisors (see below), whose sum is σ = 21208073679. Its totient is φ = 4660725888.

The previous prime is 10103466253. The next prime is 10103466271. The reversal of 10103466256 is 65266430101.

The square root of 10103466256 is 100516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 420906256 + 9682560000 = 20516^2 + 98400^2 .

It is a super-2 number, since 2×101034662562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10103466253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5225866 + ... + 5227798.

Almost surely, 210103466256 is an apocalyptic number.

10103466256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10103466256 is the 100516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103466256

10103466256 is an abundant number, since it is smaller than the sum of its proper divisors (11104607423).

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

10103466256 is an frugal number, since it uses more digits than its factorization.

10103466256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 10103466256 its reverse (65266430101), we get a palindrome (75369896357).

The spelling of 10103466256 in words is "ten billion, one hundred three million, four hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1933 2704 3866 7732 15464 25129 30928 50258 100516 201032 326677 402064 653354 1306708 2613416 3736489 5226832 7472978 14945956 29891912 48574357 59783824 97148714 194297428 388594856 631466641 777189712 1262933282 2525866564 5051733128 10103466256