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233103102121220 = 225291554125860749
BaseRepresentation
bin110101000000000110001011…
…100110010001010100000100
31010120100102211222102112001212
4311000012023212101110010
5221023130123120334340
62143434030424310552
7100046100113600612
oct6500061346212404
91116312758375055
10233103102121220
116830151a186821
1222188b39312458
13a00b6b3629136
14417c370d146b2
151be382ed0da65
hexd4018b991504

233103102121220 has 48 divisors (see below), whose sum is σ = 506428998390000. Its totient is φ = 90020229358080.

The previous prime is 233103102121207. The next prime is 233103102121229. The reversal of 233103102121220 is 22121201301332.

It can be written as a sum of positive squares in 8 ways, for example, as 6477717258496 + 226625384862724 = 2545136^2 + 15054082^2 .

It is not an unprimeable number, because it can be changed into a prime (233103102121229) 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 15 ways as a sum of consecutive naturals, for example, 3916595 + ... + 21944154.

It is an arithmetic number, because the mean of its divisors is an integer number (10550604133125).

Almost surely, 2233103102121220 is an apocalyptic number.

233103102121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233103102121220 is an abundant number, since it is smaller than the sum of its proper divisors (273325896268780).

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

233103102121220 is a wasteful number, since it uses less digits than its factorization.

233103102121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25876328 (or 25876326 counting only the distinct ones).

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

Adding to 233103102121220 its reverse (22121201301332), we get a palindrome (255224303422552).

The spelling of 233103102121220 in words is "two hundred thirty-three trillion, one hundred three billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 15541 31082 62164 77705 155410 310820 450689 901378 1802756 2253445 4506890 9013780 25860749 51721498 103442996 129303745 258607490 517214980 749961721 1499923442 2999846884 3749808605 7499617210 14999234420 401901900209 803803800418 1607607600836 2009509501045 4019019002090 8038038004180 11655155106061 23310310212122 46620620424244 58275775530305 116551551060610 233103102121220