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1311303616 = 2673797723
BaseRepresentation
bin100111000101000…
…1110011111000000
310101101110010101121
41032022032133000
510141143203431
6334041442024
744331616420
oct11612163700
93341403347
101311303616
116132188a7
123071a0314
1317b894ccc
14c6224480
157a1c4611
hex4e28e7c0

1311303616 has 56 divisors (see below), whose sum is σ = 2982081920. Its totient is φ = 560431872.

The previous prime is 1311303607. The next prime is 1311303647. The reversal of 1311303616 is 6163031131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165931 + ... + 173653.

Almost surely, 21311303616 is an apocalyptic number.

1311303616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491040960).

1311303616 is an abundant number, since it is smaller than the sum of its proper divisors (1670778304).

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

1311303616 is an equidigital number, since it uses as much as digits as its factorization.

1311303616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 1311303616 is about 36211.9264331518. The cubic root of 1311303616 is about 1094.5470116737.

Adding to 1311303616 its reverse (6163031131), we get a palindrome (7474334747).

The spelling of 1311303616 in words is "one billion, three hundred eleven million, three hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 379 448 758 1516 2653 3032 5306 6064 7723 10612 12128 15446 21224 24256 30892 42448 54061 61784 84896 108122 123568 169792 216244 247136 432488 494272 864976 1729952 2927017 3459904 5854034 11708068 20489119 23416136 40978238 46832272 81956476 93664544 163912952 187329088 327825904 655651808 1311303616