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12202146330 = 235111013491049
BaseRepresentation
bin10110101110100110…
…11111101000011010
31011111101111020222120
423113103133220122
5144442222140310
65334450202110
7611244350433
oct132723375032
934441436876
1012202146330
1151a1880160
122446583336
1311c5cc0a3a
1483a7dc48a
154b63a0b70
hex2d74dfa1a

12202146330 has 128 divisors (see below), whose sum is σ = 32387040000. Its totient is φ = 2917632000.

The previous prime is 12202146311. The next prime is 12202146337. The reversal of 12202146330 is 3364120221.

It is a self number, because there is not a number n which added to its sum of digits gives 12202146330.

It is not an unprimeable number, because it can be changed into a prime (12202146337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11631646 + ... + 11632694.

It is an arithmetic number, because the mean of its divisors is an integer number (253023750).

Almost surely, 212202146330 is an apocalyptic number.

12202146330 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 12202146330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520000).

12202146330 is an abundant number, since it is smaller than the sum of its proper divisors (20184893670).

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

12202146330 is a wasteful number, since it uses less digits than its factorization.

12202146330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12202146330 its reverse (3364120221), we get a palindrome (15566266551).

The spelling of 12202146330 in words is "twelve billion, two hundred two million, one hundred forty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 349 505 606 698 1010 1047 1049 1111 1515 1745 2094 2098 2222 3030 3147 3333 3490 3839 5235 5245 5555 6294 6666 7678 10470 10490 11110 11517 11539 15735 16665 19195 23034 23078 31470 33330 34617 35249 38390 57585 57695 69234 70498 105747 105949 115170 115390 173085 176245 211494 211898 317847 346170 352490 366101 387739 528735 529745 635694 732202 775478 1057470 1059490 1098303 1163217 1165439 1589235 1830505 1938695 2196606 2326434 2330878 3178470 3496317 3661010 3877390 4027111 5491515 5816085 5827195 6992634 8054222 10983030 11632170 11654390 12081333 17481585 20135555 24162666 34963170 36976201 40271110 60406665 73952402 110928603 120813330 184881005 221857206 369762010 406738211 554643015 813476422 1109286030 1220214633 2033691055 2440429266 4067382110 6101073165 12202146330