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10263513481 = 13277932
BaseRepresentation
bin10011000111100000…
…01100100110001001
3222111021121111122221
421203300030212021
5132004424412411
64414234414041
7512224265554
oct114360144611
928437544587
1010263513481
114397538651
121ba5291321
13c77481a00
146d515969b
154010b1071
hex263c0c989

10263513481 has 9 divisors (see below), whose sum is σ = 11115171669. Its totient is φ = 9472796736.

The previous prime is 10263513473. The next prime is 10263513493. The reversal of 10263513481 is 18431536201.

The square root of 10263513481 is 101309.

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 561263481 + 9702250000 = 23691^2 + 98500^2 .

It is not a de Polignac number, because 10263513481 - 23 = 10263513473 is a prime.

It is a super-2 number, since 2×102635134812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10263513431) 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, 1313121 + ... + 1320913.

Almost surely, 210263513481 is an apocalyptic number.

10263513481 is the 101309-th square number.

10263513481 is the 50655-th centered octagonal number.

It is an amenable number.

10263513481 is a deficient number, since it is larger than the sum of its proper divisors (851658188).

10263513481 is an frugal number, since it uses more digits than its factorization.

10263513481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15612 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 10263513481 in words is "ten billion, two hundred sixty-three million, five hundred thirteen thousand, four hundred eighty-one".

Divisors: 1 13 169 7793 101309 1317017 60730849 789501037 10263513481