Search a number
-
+
122320110330 = 232511536133803
BaseRepresentation
bin111000111101011011…
…0001100001011111010
3102200201200212102112200
41301322312030023322
54001002422012310
6132105412251030
711560130532315
oct1617266141372
9380650772480
10122320110330
114796a571380
121b858910a76
13b6c4a80c12
145cc552b97c
1532ad9ea9c0
hex1c7ad8c2fa

122320110330 has 192 divisors, whose sum is σ = 354160190592. Its totient is φ = 29038763520.

The previous prime is 122320110313. The next prime is 122320110413. The reversal of 122320110330 is 33011023221.

122320110330 is a `hidden beast` number, since 1 + 2 + 2 + 320 + 1 + 10 + 330 = 666.

It is a super-2 number, since 2×1223201103302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32162209 + ... + 32166011.

It is an arithmetic number, because the mean of its divisors is an integer number (1844584326).

Almost surely, 2122320110330 is an apocalyptic number.

122320110330 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 122320110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177080095296).

122320110330 is an abundant number, since it is smaller than the sum of its proper divisors (231840080262).

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

122320110330 is a wasteful number, since it uses less digits than its factorization.

122320110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122320110330 its reverse (33011023221), we get a palindrome (155331133551).

The spelling of 122320110330 in words is "one hundred twenty-two billion, three hundred twenty million, one hundred ten thousand, three hundred thirty".