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1213344330 = 2351137432311
BaseRepresentation
bin100100001010010…
…0010101001001010
310010120010021111220
41020110202221022
54441104004310
6320222102510
742032154012
oct11024425112
93116107456
101213344330
115729a0610
1229a41aa36
131644b7333
14b7204c42
15717c4670
hex48522a4a

1213344330 has 128 divisors (see below), whose sum is σ = 3339933696. Its totient is φ = 279417600.

The previous prime is 1213344289. The next prime is 1213344337. The reversal of 1213344330 is 334433121.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1213344330.

It is not an unprimeable number, because it can be changed into a prime (1213344337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523875 + ... + 526185.

It is an arithmetic number, because the mean of its divisors is an integer number (26093232).

Almost surely, 21213344330 is an apocalyptic number.

1213344330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213344330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669966848).

1213344330 is an abundant number, since it is smaller than the sum of its proper divisors (2126589366).

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

1213344330 is a wasteful number, since it uses less digits than its factorization.

1213344330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1213344330 is about 34833.0924553075. The cubic root of 1213344330 is about 1066.5830762403.

Adding to 1213344330 its reverse (334433121), we get a palindrome (1547777451).

It can be divided in two parts, 1213 and 344330, that added together give a palindrome (345543).

The spelling of 1213344330 in words is "one billion, two hundred thirteen million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 43 55 66 74 86 110 111 129 165 185 215 222 258 330 370 407 430 473 555 645 814 946 1110 1221 1290 1419 1591 2035 2311 2365 2442 2838 3182 4070 4622 4730 4773 6105 6933 7095 7955 9546 11555 12210 13866 14190 15910 17501 23110 23865 25421 34665 35002 47730 50842 52503 69330 76263 85507 87505 99373 105006 127105 152526 171014 175010 198746 254210 256521 262515 298119 381315 427535 496865 513042 525030 596238 762630 855070 940577 993730 1093103 1282605 1490595 1881154 2186206 2565210 2821731 2981190 3279309 3676801 4702885 5465515 5643462 6558618 7353602 9405770 10931030 11030403 14108655 16396545 18384005 22060806 28217310 32793090 36768010 40444811 55152015 80889622 110304030 121334433 202224055 242668866 404448110 606672165 1213344330