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12422433210 = 2351179835741
BaseRepresentation
bin10111001000110111…
…10100100110111010
31012001201222222202220
423210123310212322
5200420120330320
65412355504510
7616560640305
oct134433644672
935051888686
1012422433210
1152a5159a30
1224a82b8136
13122c82bbc5
1485bb81b3c
154ca8b5e40
hex2e46f49ba

12422433210 has 128 divisors (see below), whose sum is σ = 33338511360. Its totient is φ = 2937043200.

The previous prime is 12422433209. The next prime is 12422433259. The reversal of 12422433210 is 1233422421.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2160940 + ... + 2166680.

It is an arithmetic number, because the mean of its divisors is an integer number (260457120).

Almost surely, 212422433210 is an apocalyptic number.

12422433210 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 12422433210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669255680).

12422433210 is an abundant number, since it is smaller than the sum of its proper divisors (20916078150).

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

12422433210 is a wasteful number, since it uses less digits than its factorization.

12422433210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12422433210 its reverse (1233422421), we get a palindrome (13655855631).

The spelling of 12422433210 in words is "twelve billion, four hundred twenty-two million, four hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 83 110 158 165 166 237 249 330 395 415 474 498 790 830 869 913 1185 1245 1738 1826 2370 2490 2607 2739 4345 4565 5214 5478 5741 6557 8690 9130 11482 13035 13114 13695 17223 19671 26070 27390 28705 32785 34446 39342 57410 63151 65570 72127 86115 98355 126302 144254 172230 189453 196710 216381 315755 360635 378906 432762 453539 476503 631510 721270 907078 947265 953006 1081905 1360617 1429509 1894530 2163810 2267695 2382515 2721234 2859018 4535390 4765030 4988929 5241533 6803085 7147545 9977858 10483066 13606170 14295090 14966787 15724599 24944645 26207665 29933574 31449198 37643737 49889290 52415330 74833935 75287474 78622995 112931211 149667870 157245990 188218685 225862422 376437370 414081107 564656055 828162214 1129312110 1242243321 2070405535 2484486642 4140811070 6211216605 12422433210