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120021304221 = 32713373960707
BaseRepresentation
bin110111111000111010…
…0111100001110011101
3102110210111020222101200
41233301310330032131
53431300423213341
6131045333030113
711446145152560
oct1576164741635
9373714228350
10120021304221
114699a996315
121b316a85339
13b419736310
145b480d04d7
1531c6cb2db6
hex1bf1d3c39d

120021304221 has 48 divisors (see below), whose sum is σ = 219138052224. Its totient is φ = 61596899712.

The previous prime is 120021304213. The next prime is 120021304229. The reversal of 120021304221 is 122403120021.

It is a happy number.

120021304221 is a `hidden beast` number, since 120 + 0 + 21 + 304 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (120021304213) and next prime (120021304229).

It is not a de Polignac number, because 120021304221 - 23 = 120021304213 is a prime.

It is a super-2 number, since 2×1200213042212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021304194 and 120021304203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021304229) 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 47 ways as a sum of consecutive naturals, for example, 1950051 + ... + 2010656.

It is an arithmetic number, because the mean of its divisors is an integer number (4565376088).

Almost surely, 2120021304221 is an apocalyptic number.

It is an amenable number.

120021304221 is a deficient number, since it is larger than the sum of its proper divisors (99116748003).

120021304221 is a wasteful number, since it uses less digits than its factorization.

120021304221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960770 (or 3960767 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120021304221 its reverse (122403120021), we get a palindrome (242424424242).

The spelling of 120021304221 in words is "one hundred twenty billion, twenty-one million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 3960707 11882121 27724949 35646363 51489191 83174847 146546159 154467573 249524541 360424337 439638477 463402719 1025823113 1081273011 1318915431 1905100067 3077469339 3243819033 5715300201 9232408017 13335700469 17145900603 40007101407 120021304221