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12422435355 = 32511223281353
BaseRepresentation
bin10111001000110111…
…10101001000011011
31012001202000002201100
423210123311020123
5200420120412410
65412355522443
7616560646461
oct134433651033
935052002640
1012422435355
1152a5160600
1224a82b9423
13122c82cb85
1485bb82831
154ca8b68c0
hex2e46f521b

12422435355 has 144 divisors (see below), whose sum is σ = 24854776128. Its totient is φ = 5724364800.

The previous prime is 12422435339. The next prime is 12422435357. The reversal of 12422435355 is 55353422421.

It is not a de Polignac number, because 12422435355 - 24 = 12422435339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12422435357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35190859 + ... + 35191211.

It is an arithmetic number, because the mean of its divisors is an integer number (172602612).

Almost surely, 212422435355 is an apocalyptic number.

12422435355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12422435355 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12422435355 is a wasteful number, since it uses less digits than its factorization.

12422435355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 12422435355 its reverse (55353422421), we get a palindrome (67775857776).

The spelling of 12422435355 in words is "twelve billion, four hundred twenty-two million, four hundred thirty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 115 121 165 207 253 281 345 353 363 495 605 759 843 1035 1059 1089 1265 1405 1765 1815 2277 2529 2783 3091 3177 3795 3883 4215 5295 5445 6463 8119 8349 9273 11385 11649 12645 13915 15455 15885 19389 19415 24357 25047 27819 32315 34001 34947 40595 41745 42713 46365 58167 58245 71093 73071 89309 96945 99193 102003 121785 125235 128139 139095 170005 174735 213279 213565 267927 290835 297579 306009 355465 365355 384417 446545 495965 510015 639837 640695 782023 803781 892737 982399 1066395 1091123 1339635 1487895 1530045 1922085 2281439 2346069 2947197 3199185 3273369 3910115 4018905 4463685 4911995 5455615 6844317 7038207 8841591 9820107 11407195 11730345 12002353 14735985 16366845 20532951 25095829 34221585 35191035 36007059 44207955 49100535 60011765 75287487 102664755 108021177 125479145 180035295 225862461 276054119 376437435 540105885 828162357 1129312305 1380270595 2484487071 4140811785 12422435355