Search a number
-
+
12270352600 = 23521115313643
BaseRepresentation
bin10110110110101111…
…01011100011011000
31011200010211111101201
423123113223203120
5200112202240400
65345324123544
7613033163512
oct133327534330
934603744351
1012270352600
115227326580
1224653965b4
131207181c8c
148458b4bb2
154bc37506a
hex2db5eb8d8

12270352600 has 96 divisors (see below), whose sum is σ = 31150952640. Its totient is φ = 4457808000.

The previous prime is 12270352571. The next prime is 12270352607. The reversal of 12270352600 is 625307221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12270352607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3366379 + ... + 3370021.

It is an arithmetic number, because the mean of its divisors is an integer number (324489090).

Almost surely, 212270352600 is an apocalyptic number.

12270352600 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 12270352600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575476320).

12270352600 is an abundant number, since it is smaller than the sum of its proper divisors (18880600040).

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

12270352600 is a wasteful number, since it uses less digits than its factorization.

12270352600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 12270352600 its reverse (625307221), we get a palindrome (12895659821).

The spelling of 12270352600 in words is "twelve billion, two hundred seventy million, three hundred fifty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1531 2200 3062 3643 6124 7286 7655 12248 14572 15310 16841 18215 29144 30620 33682 36430 38275 40073 61240 67364 72860 76550 80146 84205 91075 134728 145720 153100 160292 168410 182150 200365 306200 320584 336820 364300 400730 421025 673640 728600 801460 842050 1001825 1602920 1684100 2003650 3368200 4007300 5577433 8014600 11154866 22309732 27887165 44619464 55774330 61351763 111548660 122703526 139435825 223097320 245407052 278871650 306758815 490814104 557743300 613517630 1115486600 1227035260 1533794075 2454070520 3067588150 6135176300 12270352600