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12202312430 = 25711195315737
BaseRepresentation
bin10110101110101000…
…01000001011101110
31011111101210200211102
423113110020023232
5144442242444210
65334453523102
7611245641620
oct132724101356
934441720742
1012202312430
1151a1983a30
122446643492
1311c604b519
1483a842c10
154b63d4ea5
hex2d75082ee

12202312430 has 128 divisors (see below), whose sum is σ = 29370885120. Its totient is φ = 3534935040.

The previous prime is 12202312417. The next prime is 12202312433. The reversal of 12202312430 is 3421320221.

12202312430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202312433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767522 + ... + 783258.

It is an arithmetic number, because the mean of its divisors is an integer number (229460040).

Almost surely, 212202312430 is an apocalyptic number.

12202312430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12202312430 is an abundant number, since it is smaller than the sum of its proper divisors (17168572690).

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

12202312430 is a wasteful number, since it uses less digits than its factorization.

12202312430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12202312430 its reverse (3421320221), we get a palindrome (15623632651).

The spelling of 12202312430 in words is "twelve billion, two hundred two million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 53 55 70 77 95 106 110 133 154 190 209 265 266 371 385 418 530 583 665 742 770 1007 1045 1166 1330 1463 1855 2014 2090 2915 2926 3710 4081 5035 5830 7049 7315 8162 10070 11077 14098 14630 15737 20405 22154 31474 35245 40810 55385 70490 77539 78685 110159 110770 155078 157370 173107 220318 299003 346214 387695 550795 598006 775390 834061 865535 1101590 1211749 1495015 1668122 1731070 2093021 2423498 2990030 3289033 4170305 4186042 5838427 6058745 6578066 8340610 9174671 10465105 11676854 12117490 15847159 16445165 18349342 20930210 23023231 29192135 31694318 32890330 45873355 46046462 58384270 64222697 79235795 91746710 110930113 115116155 128445394 158471590 174318749 221860226 230232310 321113485 348637498 554650565 642226970 871593745 1109301130 1220231243 1743187490 2440462486 6101156215 12202312430