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12210323430 = 2354327734171
BaseRepresentation
bin10110101111100101…
…01011111111100110
31011111221212200212010
423113302223333212
5200001320322210
65335341335050
7611404015404
oct132762537746
934457780763
1012210323430
1151a6455798
122449267486
1311c78c4966
1483b92a474
154b6e68920
hex2d7cabfe6

12210323430 has 64 divisors (see below), whose sum is σ = 30095417088. Its totient is φ = 3168789120.

The previous prime is 12210323429. The next prime is 12210323441. The reversal of 12210323430 is 3432301221.

It is a junction number, because it is equal to n+sod(n) for n = 12210323397 and 12210323406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340245 + ... + 374415.

It is an arithmetic number, because the mean of its divisors is an integer number (470240892).

Almost surely, 212210323430 is an apocalyptic number.

12210323430 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 12210323430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047708544).

12210323430 is an abundant number, since it is smaller than the sum of its proper divisors (17885093658).

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

12210323430 is a wasteful number, since it uses less digits than its factorization.

12210323430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34501.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12210323430 its reverse (3432301221), we get a palindrome (15642624651).

The spelling of 12210323430 in words is "twelve billion, two hundred ten million, three hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 277 430 554 645 831 1290 1385 1662 2770 4155 8310 11911 23822 34171 35733 59555 68342 71466 102513 119110 170855 178665 205026 341710 357330 512565 1025130 1469353 2938706 4408059 7346765 8816118 9465367 14693530 18930734 22040295 28396101 44080590 47326835 56792202 94653670 141980505 283961010 407010781 814021562 1221032343 2035053905 2442064686 4070107810 6105161715 12210323430