Search a number
-
+
210432434322 = 23118370154799
BaseRepresentation
bin1100001111111011000…
…0000010000010010010
3202010011101202020222210
43003332300002002102
511421431200344242
6240401001212550
721126466115265
oct3037660020222
9663141666883
10210432434322
1181275694550
1234949491156
1316ac7795c36
14a28384ccdc
1557192a0d9c
hex30fec02092

210432434322 has 64 divisors (see below), whose sum is σ = 465328281600. Its totient is φ = 62908104000.

The previous prime is 210432434291. The next prime is 210432434357. The reversal of 210432434322 is 223434234012.

It is a self number, because there is not a number n which added to its sum of digits gives 210432434322.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3812679 + ... + 3867477.

It is an arithmetic number, because the mean of its divisors is an integer number (7270754400).

Almost surely, 2210432434322 is an apocalyptic number.

210432434322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210432434322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232664140800).

210432434322 is an abundant number, since it is smaller than the sum of its proper divisors (254895847278).

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

210432434322 is a wasteful number, since it uses less digits than its factorization.

210432434322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55599.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 210432434322 its reverse (223434234012), we get a palindrome (433866668334).

The spelling of 210432434322 in words is "two hundred ten billion, four hundred thirty-two million, four hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 701 913 1402 1826 2103 2739 4206 5478 7711 15422 23133 46266 54799 58183 109598 116366 164397 174549 328794 349098 602789 640013 1205578 1280026 1808367 1920039 3616734 3840078 4548317 9096634 13644951 27289902 38414099 50031487 76828198 100062974 115242297 150094461 230484594 300188922 422555089 845110178 1267665267 2535330534 3188370217 6376740434 9565110651 19130221302 35072072387 70144144774 105216217161 210432434322