Search a number
-
+
122323321230 = 23511461823977
BaseRepresentation
bin111000111101100001…
…0011100000110001110
3102200201220220120001220
41301323002130012032
54001004232234410
6132110005144210
711560200034455
oct1617302340616
9380656816056
10122323321230
1147971364810
121b8599bb066
13b6c5636566
145cc5b25b9c
1532ade32070
hex1c7b09c18e

122323321230 has 128 divisors (see below), whose sum is σ = 321678314496. Its totient is φ = 29523609600.

The previous prime is 122323321213. The next prime is 122323321249. The reversal of 122323321230 is 32123323221.

It is a self number, because there is not a number n which added to its sum of digits gives 122323321230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125202502 + ... + 125203478.

It is an arithmetic number, because the mean of its divisors is an integer number (2513111832).

Almost surely, 2122323321230 is an apocalyptic number.

122323321230 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 122323321230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160839157248).

122323321230 is an abundant number, since it is smaller than the sum of its proper divisors (199354993266).

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

122323321230 is a wasteful number, since it uses less digits than its factorization.

122323321230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122323321230 its reverse (32123323221), we get a palindrome (154446644451).

The spelling of 122323321230 in words is "one hundred twenty-two billion, three hundred twenty-three million, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 461 823 922 977 1383 1646 1954 2305 2469 2766 2931 4115 4610 4885 4938 5071 5862 6915 8230 9053 9770 10142 10747 12345 13830 14655 15213 18106 21494 24690 25355 27159 29310 30426 32241 45265 50710 53735 54318 64482 76065 90530 107470 135795 152130 161205 271590 322410 379403 450397 758806 804071 900794 1138209 1351191 1608142 1897015 2251985 2276418 2412213 2702382 3794030 4020355 4173433 4503970 4824426 4954367 5691045 6755955 8040710 8346866 8844781 9908734 11382090 12061065 12520299 13511910 14863101 17689562 20867165 24122130 24771835 25040598 26534343 29726202 41734330 44223905 49543670 53068686 62601495 74315505 88447810 125202990 132671715 148631010 265343430 370676731 741353462 1112030193 1853383655 2224060386 3706767310 4077444041 5560150965 8154888082 11120301930 12232332123 20387220205 24464664246 40774440410 61161660615 122323321230