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12230013330 = 23252310755217
BaseRepresentation
bin10110110001111011…
…10011000110010010
31011120022221001022200
423120331303012102
5200021340411310
65341323344030
7612033253353
oct133075630622
934508831280
1012230013330
115206584037
122453982016
1311cb9c9ba2
148403b3d2a
154b8a579c0
hex2d8f73192

12230013330 has 96 divisors (see below), whose sum is σ = 33491263104. Its totient is φ = 3090329088.

The previous prime is 12230013311. The next prime is 12230013349. The reversal of 12230013330 is 3331003221.

12230013330 is a `hidden beast` number, since 1 + 22 + 300 + 13 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (12230013311) and next prime (12230013349).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193882 + ... + 249098.

It is an arithmetic number, because the mean of its divisors is an integer number (348867324).

Almost surely, 212230013330 is an apocalyptic number.

12230013330 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 12230013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745631552).

12230013330 is an abundant number, since it is smaller than the sum of its proper divisors (21261249774).

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

12230013330 is a wasteful number, since it uses less digits than its factorization.

12230013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55360 (or 55357 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12230013330 its reverse (3331003221), we get a palindrome (15561016551).

The spelling of 12230013330 in words is "twelve billion, two hundred thirty million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 107 115 138 207 214 230 321 345 414 535 642 690 963 1035 1070 1605 1926 2070 2461 3210 4815 4922 7383 9630 12305 14766 22149 24610 36915 44298 55217 73830 110434 110745 165651 221490 276085 331302 496953 552170 828255 993906 1269991 1656510 2484765 2539982 3809973 4969530 5908219 6349955 7619946 11429919 11816438 12699910 17724657 19049865 22859838 29541095 35449314 38099730 53173971 57149595 59082190 88623285 106347942 114299190 135889037 177246570 265869855 271778074 407667111 531739710 679445185 815334222 1223001333 1358890370 2038335555 2446002666 4076671110 6115006665 12230013330