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12434101350 = 2352118390793
BaseRepresentation
bin10111001010010000…
…10101010001100110
31012002112221210110020
423211020111101212
5200431112220400
65413453540010
7620062055226
oct134510252146
935075853406
1012434101350
1153007a9420
1224b01a4606
131232085b28
1485d53c086
154cb91d2a0
hex2e5215466

12434101350 has 96 divisors (see below), whose sum is σ = 34045570944. Its totient is φ = 2977977600.

The previous prime is 12434101349. The next prime is 12434101357. The reversal of 12434101350 is 5310143421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12434101350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434101357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91554 + ... + 182346.

It is an arithmetic number, because the mean of its divisors is an integer number (354641364).

Almost surely, 212434101350 is an apocalyptic number.

12434101350 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 12434101350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022785472).

12434101350 is an abundant number, since it is smaller than the sum of its proper divisors (21611469594).

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

12434101350 is a wasteful number, since it uses less digits than its factorization.

12434101350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90902 (or 90897 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12434101350 its reverse (5310143421), we get a palindrome (17744244771).

The spelling of 12434101350 in words is "twelve billion, four hundred thirty-four million, one hundred one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 83 110 150 165 166 249 275 330 415 498 550 825 830 913 1245 1650 1826 2075 2490 2739 4150 4565 5478 6225 9130 12450 13695 22825 27390 45650 68475 90793 136950 181586 272379 453965 544758 907930 998723 1361895 1997446 2269825 2723790 2996169 4539650 4993615 5992338 6809475 7535819 9987230 13618950 14980845 15071638 22607457 24968075 29961690 37679095 45214914 49936150 74904225 75358190 82894009 113037285 149808450 165788018 188395475 226074570 248682027 376790950 414470045 497364054 565186425 828940090 1130372850 1243410135 2072350225 2486820270 4144700450 6217050675 12434101350