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12210130032 = 243795695659
BaseRepresentation
bin10110101111100011…
…11100110001110000
31011111221111212120020
423113301330301300
5200001243130112
65335333243440
7611402251512
oct132761746160
934457455506
1012210130032
1151a6333461
122449193580
1311c7857919
1483b8b9bb2
154b6e2b48c
hex2d7c7cc70

12210130032 has 80 divisors (see below), whose sum is σ = 32003904000. Its totient is φ = 4010752512.

The previous prime is 12210130021. The next prime is 12210130033. The reversal of 12210130032 is 23003101221.

It is a junction number, because it is equal to n+sod(n) for n = 12210129993 and 12210130020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210130033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2154819 + ... + 2160477.

It is an arithmetic number, because the mean of its divisors is an integer number (400048800).

Almost surely, 212210130032 is an apocalyptic number.

12210130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001952000).

12210130032 is an abundant number, since it is smaller than the sum of its proper divisors (19793773968).

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

12210130032 is a wasteful number, since it uses less digits than its factorization.

12210130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12210130032 its reverse (23003101221), we get a palindrome (35213231253).

The spelling of 12210130032 in words is "twelve billion, two hundred ten million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 569 632 948 1138 1264 1707 1896 2276 3414 3792 4552 5659 6828 9104 11318 13656 16977 22636 27312 33954 44951 45272 67908 89902 90544 134853 135816 179804 269706 271632 359608 447061 539412 719216 894122 1078824 1341183 1788244 2157648 2682366 3219971 3576488 5364732 6439942 7152976 9659913 10729464 12879884 19319826 21458928 25759768 38639652 51519536 77279304 154558608 254377709 508755418 763133127 1017510836 1526266254 2035021672 3052532508 4070043344 6105065016 12210130032