Search a number
-
+
122300334104 = 23132180150227
BaseRepresentation
bin111000111100110101…
…0110000000000011000
3102200200022122200122212
41301321222300000120
54000432341142404
6132103424334252
711556500454554
oct1617152600030
9380608580585
10122300334104
114795a394193
121b852174388
13b6c0948600
145cc2a60864
1532abde106e
hex1c79ab0018

122300334104 has 48 divisors (see below), whose sum is σ = 248452299720. Its totient is φ = 56413843200.

The previous prime is 122300334103. The next prime is 122300334119. The reversal of 122300334104 is 401433003221.

It is a self number, because there is not a number n which added to its sum of digits gives 122300334104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300334103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2409839 + ... + 2460065.

Almost surely, 2122300334104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122300334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124226149860).

122300334104 is an abundant number, since it is smaller than the sum of its proper divisors (126151965616).

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

122300334104 is a wasteful number, since it uses less digits than its factorization.

122300334104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52060 (or 52043 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 122300334104 its reverse (401433003221), we get a palindrome (523733337325).

The spelling of 122300334104 in words is "one hundred twenty-two billion, three hundred million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1801 3602 7204 14408 23413 46826 50227 93652 100454 187304 200908 304369 401816 608738 652951 1217476 1305902 2434952 2611804 5223608 8488363 16976726 33953452 67906904 90458827 180917654 361835308 723670616 1175964751 2351929502 4703859004 9407718008 15287541763 30575083526 61150167052 122300334104