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12412313430 = 23511211178261
BaseRepresentation
bin10111000111101010…
…01101111101010110
31012001000221212001020
423203311031331112
5200410023012210
65411354542010
7616405631466
oct134365157526
935030855036
1012412313430
11529a477880
1224a4a37906
13122a6c797a
1485a6a9ba6
154c9a67770
hex2e3d4df56

12412313430 has 64 divisors (see below), whose sum is σ = 32651894016. Its totient is φ = 2994768000.

The previous prime is 12412313363. The next prime is 12412313437. The reversal of 12412313430 is 3431321421.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12412313430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412313437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19501 + ... + 158760.

It is an arithmetic number, because the mean of its divisors is an integer number (510185844).

Almost surely, 212412313430 is an apocalyptic number.

12412313430 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 12412313430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325947008).

12412313430 is an abundant number, since it is smaller than the sum of its proper divisors (20239580586).

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

12412313430 is a wasteful number, since it uses less digits than its factorization.

12412313430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178493.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12412313430 its reverse (3431321421), we get a palindrome (15843634851).

The spelling of 12412313430 in words is "twelve billion, four hundred twelve million, three hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 211 330 422 633 1055 1266 2110 2321 3165 4642 6330 6963 11605 13926 23210 34815 69630 178261 356522 534783 891305 1069566 1782610 1960871 2673915 3921742 5347830 5882613 9804355 11765226 19608710 29413065 37613071 58826130 75226142 112839213 188065355 225678426 376130710 413743781 564196065 827487562 1128392130 1241231343 2068718905 2482462686 4137437810 6206156715 12412313430