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1230213120 = 2123520023
BaseRepresentation
bin100100101010011…
…1001000000000000
310011201212022010220
41021110321000000
510004413304440
6322023423040
742325432113
oct11124710000
93151768126
101230213120
11581472364
122a3bb4a80
13167b42476
14b955657a
15730078d0
hex49539000

1230213120 has 104 divisors (see below), whose sum is σ = 3936398016. Its totient is φ = 328040448.

The previous prime is 1230213079. The next prime is 1230213137. The reversal of 1230213120 is 213120321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230213120.

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, 51429 + ... + 71451.

Almost surely, 21230213120 is an apocalyptic number.

1230213120 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 1230213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968199008).

1230213120 is an abundant number, since it is smaller than the sum of its proper divisors (2706184896).

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

1230213120 is an equidigital number, since it uses as much as digits as its factorization.

1230213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20033 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1230213120 is about 35074.3940788718. The cubic root of 1230213120 is about 1071.5031483835.

Adding to 1230213120 its reverse (213120321), we get a palindrome (1443333441).

The spelling of 1230213120 in words is "one billion, two hundred thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 20023 20480 30720 40046 60069 61440 80092 100115 120138 160184 200230 240276 300345 320368 400460 480552 600690 640736 800920 961104 1201380 1281472 1601840 1922208 2402760 2562944 3203680 3844416 4805520 5125888 6407360 7688832 9611040 10251776 12814720 15377664 19222080 20503552 25629440 30755328 38444160 41007104 51258880 61510656 76888320 82014208 102517760 123021312 153776640 205035520 246042624 307553280 410071040 615106560 1230213120