Search a number
-
+
1213013001330 = 2325132345076663
BaseRepresentation
bin10001101001101101001…
…101011000010001110010
311021221222221222001220200
4101221231031120101302
5124333222312020310
62325130034220030
7153431410250304
oct21515515302162
94257887861820
101213013001330
11428488241649
1217710b724616
138a50458c3b0
14429d28b9974
15218473599c0
hex11a6d358472

1213013001330 has 96 divisors (see below), whose sum is σ = 3544107630336. Its totient is φ = 285605730432.

The previous prime is 1213013001329. The next prime is 1213013001331. The reversal of 1213013001330 is 331003103121.

It is a happy number.

1213013001330 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 1 + 300 + 1 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1213013001329) and next prime (1213013001331).

It is a super-2 number, since 2×12130130013302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1213013001331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22511422 + ... + 22565241.

It is an arithmetic number, because the mean of its divisors is an integer number (36917787816).

Almost surely, 21213013001330 is an apocalyptic number.

1213013001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1213013001330 is an abundant number, since it is smaller than the sum of its proper divisors (2331094629006).

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

1213013001330 is a wasteful number, since it uses less digits than its factorization.

1213013001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45076712 (or 45076709 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1213013001330 its reverse (331003103121), we get a palindrome (1544016104451).

The spelling of 1213013001330 in words is "one trillion, two hundred thirteen billion, thirteen million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4485 5382 8970 13455 26910 45076663 90153326 135229989 225383315 270459978 405689967 450766630 585996619 676149945 811379934 1036763249 1171993238 1352299890 1757989857 2028449835 2073526498 2929983095 3110289747 3515979714 4056899670 5183816245 5273969571 5859966190 6220579494 8789949285 9330869241 10367632490 10547939142 13477922237 15551448735 17579898570 18661738482 26369847855 26955844474 31102897470 40433766711 46654346205 52739695710 67389611185 80867533422 93308692410 121301300133 134779222370 202168833555 242602600266 404337667110 606506500665 1213013001330