Search a number
-
+
122202301231032 = 233112337827657719
BaseRepresentation
bin11011110010010001110000…
…110000010110111110111000
3121000200102111111002012220220
4123302101300300112332320
5112004130303103343112
61111522543455220040
734511552641605501
oct3362216060267670
9530612444065826
10122202301231032
1135a34783268120
121185775b517620
135325820996779
1422268a14adba8
15e1db67b1d98c
hex6f2470c16fb8

122202301231032 has 256 divisors, whose sum is σ = 357600995942400. Its totient is φ = 34421908308480.

The previous prime is 122202301230949. The next prime is 122202301231081. The reversal of 122202301231032 is 230132103202221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122202301230993 and 122202301231011.

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, 185468269 + ... + 186125987.

It is an arithmetic number, because the mean of its divisors is an integer number (1396878890400).

Almost surely, 2122202301231032 is an apocalyptic number.

122202301231032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122202301231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178800497971200).

122202301231032 is an abundant number, since it is smaller than the sum of its proper divisors (235398694711368).

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

122202301231032 is a wasteful number, since it uses less digits than its factorization.

122202301231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658626 (or 658622 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122202301231032 its reverse (230132103202221), we get a palindrome (352334404433253).

The spelling of 122202301231032 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred one million, two hundred thirty-one thousand, thirty-two".