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1363003631 = 11413022181
BaseRepresentation
bin101000100111101…
…1100100011101111
310111222201202110222
41101033130203233
510242412104011
6343125521555
745530224343
oct12117344357
93458652428
101363003631
1163a41a890
123205732bb
131894c7132
14cd041623
157e9d7ddb
hex513dc8ef

1363003631 has 8 divisors (see below), whose sum is σ = 1523179728. Its totient is φ = 1208872000.

The previous prime is 1363003613. The next prime is 1363003639.

1363003631 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1363003631 - 222 = 1358809327 is a prime.

It is a super-2 number, since 2×13630036312 = 3715557796238368322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1363003631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363003639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1510640 + ... + 1511541.

It is an arithmetic number, because the mean of its divisors is an integer number (190397466).

Almost surely, 21363003631 is an apocalyptic number.

1363003631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1363003631 is a deficient number, since it is larger than the sum of its proper divisors (160176097).

1363003631 is a wasteful number, since it uses less digits than its factorization.

1363003631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022233.

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 1363003631 is about 36918.8790593647. The cubic root of 1363003631 is about 1108.7466932550.

It can be divided in two parts, 136300 and 3631, that added together give a palindrome (139931).

The spelling of 1363003631 in words is "one billion, three hundred sixty-three million, three thousand, six hundred thirty-one".

Divisors: 1 11 41 451 3022181 33243991 123909421 1363003631