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2323133101120 = 26513558445457
BaseRepresentation
bin100001110011100101100…
…001011111010001000000
322020002102010210011201011
4201303211201133101000
5301030234033213440
64535122124450304
7326561255355046
oct41634541372100
98202363704634
102323133101120
11816265087377
123162a46a9994
1313b0bbbb52a0
148062404a396
154066b4dd9ea
hex21ce585f440

2323133101120 has 56 divisors (see below), whose sum is σ = 5957496145944. Its totient is φ = 857772220416.

The previous prime is 2323133101111. The next prime is 2323133101169. The reversal of 2323133101120 is 211013313232.

It can be written as a sum of positive squares in 4 ways, for example, as 83608879104 + 2239524222016 = 289152^2 + 1496504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2323133101091 and 2323133101100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279218569 + ... + 279226888.

It is an arithmetic number, because the mean of its divisors is an integer number (106383859749).

Almost surely, 22323133101120 is an apocalyptic number.

2323133101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323133101120 is an abundant number, since it is smaller than the sum of its proper divisors (3634363044824).

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

2323133101120 is a wasteful number, since it uses less digits than its factorization.

2323133101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558445487 (or 558445477 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2323133101120 its reverse (211013313232), we get a palindrome (2534146414352).

The spelling of 2323133101120 in words is "two trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 558445457 1116890914 2233781828 2792227285 4467563656 5584454570 7259790941 8935127312 11168909140 14519581882 17870254624 22337818280 29039163764 35740509248 36298954705 44675636560 58078327528 72597909410 89351273120 116156655056 145195818820 178702546240 232313310112 290391637640 464626620224 580783275280 1161566550560 2323133101120