Search a number
-
+
2302111322231 = 737558388799
BaseRepresentation
bin100001100000000000100…
…001110001000001110111
322011002011002121011022212
4201200000201301001313
5300204210444302411
64521324135044035
7325215315242000
oct41400041610167
98132132534285
102302111322231
11808357909796
123121b851061b
1313911b916476
147d5cc1881a7
153ed3abdd68b
hex21800871077

2302111322231 has 16 divisors (see below), whose sum is σ = 2684743680000. Its totient is φ = 1973189948184.

The previous prime is 2302111322209. The next prime is 2302111322233. The reversal of 2302111322231 is 1322231112032.

It is a de Polignac number, because none of the positive numbers 2k-2302111322231 is a prime.

It is a super-2 number, since 2×23021113222312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2302111322197 and 2302111322206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302111322233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25880570 + ... + 25969368.

It is an arithmetic number, because the mean of its divisors is an integer number (167796480000).

Almost surely, 22302111322231 is an apocalyptic number.

2302111322231 is a deficient number, since it is larger than the sum of its proper divisors (382632357769).

2302111322231 is an frugal number, since it uses more digits than its factorization.

2302111322231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164403 (or 164389 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2302111322231 its reverse (1322231112032), we get a palindrome (3624342434263).

The spelling of 2302111322231 in words is "two trillion, three hundred two billion, one hundred eleven million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 7 49 343 75583 88799 529081 621593 3703567 4351151 25924969 30458057 6711694817 46981863719 328873046033 2302111322231