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12270210030 = 23251367315583
BaseRepresentation
bin10110110110101110…
…01000101111101110
31011200010120020211100
423123113020233232
5200112133210110
65345321103530
7613032031041
oct133327105756
934603506740
1012270210030
115227239451
122465327ba6
131207132110
14845878c58
154bc347bc0
hex2db5c8bee

12270210030 has 96 divisors (see below), whose sum is σ = 34409846016. Its totient is φ = 3015677952.

The previous prime is 12270209951. The next prime is 12270210031. The reversal of 12270210030 is 3001207221.

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 = 12270209985 and 12270210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12270210031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779619 + ... + 795201.

It is an arithmetic number, because the mean of its divisors is an integer number (358435896).

Almost surely, 212270210030 is an apocalyptic number.

12270210030 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 12270210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204923008).

12270210030 is an abundant number, since it is smaller than the sum of its proper divisors (22139635986).

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

12270210030 is a wasteful number, since it uses less digits than its factorization.

12270210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282 (or 16279 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 12270210030 its reverse (3001207221), we get a palindrome (15271417251).

The spelling of 12270210030 in words is "twelve billion, two hundred seventy million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 673 1170 1346 2019 3365 4038 6057 6730 8749 10095 12114 15583 17498 20190 26247 30285 31166 43745 46749 52494 60570 77915 78741 87490 93498 131235 140247 155830 157482 202579 233745 262470 280494 393705 405158 467490 607737 701235 787410 1012895 1215474 1402470 1823211 2025790 3038685 3646422 6077370 9116055 10487359 18232110 20974718 31462077 52436795 62924154 94386231 104873590 136335667 157310385 188772462 272671334 314620770 409007001 471931155 681678335 818014002 943862310 1227021003 1363356670 2045035005 2454042006 4090070010 6135105015 12270210030