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10220120102331 = 36125911135321
BaseRepresentation
bin1001010010111000111010…
…1000001101010110111011
31100012000220202001001000000
42110232032220031112323
52314421301221233311
633423020334444043
72103244050343626
oct224561650152673
940160822031000
1010220120102331
1132903683a5967
121190889663623
135919a39b3999
1427492943adbd
1512acae959056
hex94b8ea0d5bb

10220120102331 has 28 divisors (see below), whose sum is σ = 15335342751960. Its totient is φ = 6808001024160.

The previous prime is 10220120102267. The next prime is 10220120102419. The reversal of 10220120102331 is 13320102102201.

10220120102331 is a `hidden beast` number, since 1 + 0 + 220 + 12 + 0 + 102 + 331 = 666.

It is not a de Polignac number, because 10220120102331 - 26 = 10220120102267 is a prime.

It is a super-2 number, since 2×102201201023312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10220120102431) 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 27 ways as a sum of consecutive naturals, for example, 4649850 + ... + 6485471.

It is an arithmetic number, because the mean of its divisors is an integer number (547690812570).

Almost surely, 210220120102331 is an apocalyptic number.

10220120102331 is a deficient number, since it is larger than the sum of its proper divisors (5115222649629).

10220120102331 is an equidigital number, since it uses as much as digits as its factorization.

10220120102331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136598 (or 11136583 counting only the distinct ones).

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

Adding to 10220120102331 its reverse (13320102102201), we get a palindrome (23540222204532).

The spelling of 10220120102331 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 729 1259 3777 11331 33993 101979 305937 917811 11135321 33405963 100217889 300653667 901961001 2705883003 8117649009 14019369139 42058107417 126174322251 378522966753 1135568900259 3406706700777 10220120102331