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1020121130331 = 324313120121923
BaseRepresentation
bin11101101100000111111…
…01010010010101011011
310121112002222212202022100
432312003331102111123
5113203202002132311
62100345344054443
7133462360352412
oct16660375222533
93545088782270
101020121130331
113636a3868a26
12145858604423
1375273aa4a14
1437534860479
151b807e5ca56
hexed83f5255b

1020121130331 has 24 divisors (see below), whose sum is σ = 1519285749696. Its totient is φ = 659194164720.

The previous prime is 1020121130317. The next prime is 1020121130383. The reversal of 1020121130331 is 1330311210201.

1020121130331 is a `hidden beast` number, since 1 + 0 + 201 + 2 + 1 + 130 + 331 = 666.

It is not a de Polignac number, because 1020121130331 - 215 = 1020121097563 is a prime.

It is a super-2 number, since 2×10201211303312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020121130131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10010265 + ... + 10111658.

It is an arithmetic number, because the mean of its divisors is an integer number (63303572904).

Almost surely, 21020121130331 is an apocalyptic number.

1020121130331 is a deficient number, since it is larger than the sum of its proper divisors (499164619365).

1020121130331 is a wasteful number, since it uses less digits than its factorization.

1020121130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122103 (or 20122100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1020121130331 its reverse (1330311210201), we get a palindrome (2350432340532).

The spelling of 1020121130331 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 43 129 131 387 393 1179 5633 16899 50697 20121923 60365769 181097307 865242689 2595728067 2635971913 7787184201 7907915739 23723747217 113346792259 340040376777 1020121130331