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1341321120 = 2535534499
BaseRepresentation
bin100111111110010…
…1110111110100000
310110110221011200000
41033330232332200
510221334233440
6341033100000
745145020126
oct11774567640
93413834600
101341321120
11629160457
12315257600
13184b74c49
14ca1d9916
157cb53730
hex4ff2efa0

1341321120 has 144 divisors (see below), whose sum is σ = 4746924000. Its totient is φ = 357675264.

The previous prime is 1341321067. The next prime is 1341321133. The reversal of 1341321120 is 211231431.

1341321120 is a `hidden beast` number, since 1 + 341 + 321 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1341321093 and 1341321102.

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 23 ways as a sum of consecutive naturals, for example, 21631 + ... + 56129.

It is an arithmetic number, because the mean of its divisors is an integer number (32964750).

Almost surely, 21341321120 is an apocalyptic number.

1341321120 is a gapful number since it is divisible by the number (10) 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 1341321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373462000).

1341321120 is an abundant number, since it is smaller than the sum of its proper divisors (3405602880).

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

1341321120 is an equidigital number, since it uses as much as digits as its factorization.

1341321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34529 (or 34509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1341321120 is about 36624.0511139879. The cubic root of 1341321120 is about 1102.8359659152.

Adding to 1341321120 its reverse (211231431), we get a palindrome (1552552551).

The spelling of 1341321120 in words is "one billion, three hundred forty-one million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 34499 38880 68998 103497 137996 172495 206994 275992 310491 344990 413988 517485 551984 620982 689980 827976 931473 1034970 1103968 1241964 1379960 1552455 1655952 1862946 2069940 2483928 2759920 2794419 3104910 3311904 3725892 4139880 4657365 4967856 5519840 5588838 6209820 7451784 8279760 8383257 9314730 9935712 11177676 12419640 13972095 14903568 16559520 16766514 18629460 22355352 24839280 27944190 29807136 33533028 37258920 41916285 44710704 49678560 55888380 67066056 74517840 83832570 89421408 111776760 134132112 149035680 167665140 223553520 268264224 335330280 447107040 670660560 1341321120