Search a number
-
+
122331301002 = 23310397122651
BaseRepresentation
bin111000111101110000…
…0111000010010001010
3102200202110220222021000
41301323200320102022
54001013303113002
6132110452155430
711560324621221
oct1617340702212
9380673828230
10122331301002
1147975915069
121b860608b76
13b6c719b711
145cc6c01cb8
1532ae9ab61c
hex1c7b83848a

122331301002 has 64 divisors (see below), whose sum is σ = 274781445120. Its totient is φ = 40337838000.

The previous prime is 122331300929. The next prime is 122331301003. The reversal of 122331301002 is 200103133221.

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

It is not an unprimeable number, because it can be changed into a prime (122331301003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5389377 + ... + 5412027.

It is an arithmetic number, because the mean of its divisors is an integer number (4293460080).

Almost surely, 2122331301002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331301002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137390722560).

122331301002 is an abundant number, since it is smaller than the sum of its proper divisors (152450144118).

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

122331301002 is a wasteful number, since it uses less digits than its factorization.

122331301002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23736 (or 23730 counting only the distinct ones).

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

Adding to 122331301002 its reverse (200103133221), we get a palindrome (322434434223).

The spelling of 122331301002 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 971 1854 1942 2781 2913 5562 5826 8739 17478 22651 26217 45302 52434 67953 100013 135906 200026 203859 300039 407718 600078 611577 900117 1223154 1800234 2333053 2700351 4666106 5400702 6999159 13998318 20997477 21994121 41994954 43988242 62992431 65982363 125984862 131964726 197947089 395894178 593841267 1187682534 2265394463 4530788926 6796183389 13592366778 20388550167 40777100334 61165650501 122331301002