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1311813630 = 2365179947
BaseRepresentation
bin100111000110000…
…1010111111111110
310101102102001000000
41032030022333332
510141311014010
6334100415130
744336142351
oct11614127776
93342361000
101311813630
11613536aa6
123073a74a6
1317ba131aa
14c6318298
157a2757c0
hex4e30affe

1311813630 has 56 divisors (see below), whose sum is σ = 3540296952. Its totient is φ = 349815024.

The previous prime is 1311813617. The next prime is 1311813641. The reversal of 1311813630 is 363181131.

1311813630 is a `hidden beast` number, since 1 + 3 + 1 + 18 + 13 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1311813594 and 1311813603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 82684 + ... + 97263.

Almost surely, 21311813630 is an apocalyptic number.

1311813630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311813630 is an abundant number, since it is smaller than the sum of its proper divisors (2228483322).

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

1311813630 is an equidigital number, since it uses as much as digits as its factorization.

1311813630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179972 (or 179957 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1311813630 is about 36218.9678207428. The cubic root of 1311813630 is about 1094.6888964200.

Adding to 1311813630 its reverse (363181131), we get a palindrome (1674994761).

The spelling of 1311813630 in words is "one billion, three hundred eleven million, eight hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 179947 359894 539841 899735 1079682 1619523 1799470 2699205 3239046 4858569 5398410 8097615 9717138 14575707 16195230 24292845 29151414 43727121 48585690 72878535 87454242 131181363 145757070 218635605 262362726 437271210 655906815 1311813630