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130213220121 = 32891491935653
BaseRepresentation
bin111100101000101010…
…0000000111100011001
3110110002210010221122100
41321101110000330121
54113134041020441
6135452533114013
712256543052235
oct1712124007431
9413083127570
10130213220121
115024aa71606
12212a0188909
13c38210a29a
14643392d5c5
1535c192ecb6
hex1e51500f19

130213220121 has 48 divisors (see below), whose sum is σ = 192501738000. Its totient is φ = 84800618496.

The previous prime is 130213220117. The next prime is 130213220153. The reversal of 130213220121 is 121022312031.

It can be written as a sum of positive squares in 8 ways, for example, as 16883364096 + 113329856025 = 129936^2 + 336645^2 .

It is not a de Polignac number, because 130213220121 - 22 = 130213220117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130213220094 and 130213220103.

It is not an unprimeable number, because it can be changed into a prime (130213220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23031531 + ... + 23037183.

It is an arithmetic number, because the mean of its divisors is an integer number (4010452875).

Almost surely, 2130213220121 is an apocalyptic number.

It is an amenable number.

130213220121 is a deficient number, since it is larger than the sum of its proper divisors (62288517879).

130213220121 is a wasteful number, since it uses less digits than its factorization.

130213220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130213220121 its reverse (121022312031), we get a palindrome (251235532152).

The spelling of 130213220121 in words is "one hundred thirty billion, two hundred thirteen million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 89 149 193 267 447 579 801 1341 1737 5653 13261 16959 17177 28757 39783 50877 51531 86271 119349 154593 258813 503117 842297 1091029 1509351 2526891 2559373 3273087 4528053 7580673 7678119 9819261 23034357 74964433 97101581 162563321 224893299 291304743 487689963 674679897 873914229 1463069889 14468135569 43404406707 130213220121