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120013322331 = 3719413972671
BaseRepresentation
bin110111111000101011…
…0011111100001011011
3102110202221020110022010
41233301112133201123
53431241402303311
6131044450001003
711446020260010
oct1576126374133
9373687213263
10120013322331
1146996434411
121b314276163
13b417ba01c6
145b47013707
1531c6237da6
hex1bf159f85b

120013322331 has 32 divisors (see below), whose sum is σ = 192551731200. Its totient is φ = 64953027360.

The previous prime is 120013322309. The next prime is 120013322381. The reversal of 120013322331 is 133223310021.

It is not a de Polignac number, because 120013322331 - 215 = 120013289563 is a prime.

It is a super-2 number, since 2×1200133223312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120013322298 and 120013322307.

It is not an unprimeable number, because it can be changed into a prime (120013322381) 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 31 ways as a sum of consecutive naturals, for example, 1615126 + ... + 1687796.

It is an arithmetic number, because the mean of its divisors is an integer number (6017241600).

Almost surely, 2120013322331 is an apocalyptic number.

120013322331 is a deficient number, since it is larger than the sum of its proper divisors (72538408869).

120013322331 is a wasteful number, since it uses less digits than its factorization.

120013322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76839.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120013322331 its reverse (133223310021), we get a palindrome (253236632352).

The spelling of 120013322331 in words is "one hundred twenty billion, thirteen million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 4139 12417 28973 72671 78641 86919 218013 235923 508697 550487 1380749 1526091 1651461 4142247 9665243 28995729 300785269 902355807 2105496883 5714920111 6316490649 17144760333 40004440777 120013322331