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120321332021 = 11172293142101
BaseRepresentation
bin111000000001110110…
…1011101001100110101
3102111120101210222011102
41300003231131030311
53432404230111041
6131135211415445
711456450306312
oct1600355351465
9374511728142
10120321332021
1147034289680
121b39b454585
13b466943967
145b75cadd09
1531e32ca09b
hex1c03b5d335

120321332021 has 48 divisors (see below), whose sum is σ = 148899617280. Its totient is φ = 96190080000.

The previous prime is 120321332011. The next prime is 120321332057. The reversal of 120321332021 is 120233123021.

It is not a de Polignac number, because 120321332021 - 226 = 120254223157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120321331984 and 120321332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120321332011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2836871 + ... + 2878971.

It is an arithmetic number, because the mean of its divisors is an integer number (3102075360).

Almost surely, 2120321332021 is an apocalyptic number.

120321332021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120321332021 is a deficient number, since it is larger than the sum of its proper divisors (28578285259).

120321332021 is a wasteful number, since it uses less digits than its factorization.

120321332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42206 (or 42189 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120321332021 its reverse (120233123021), we get a palindrome (240554455042).

The spelling of 120321332021 in words is "one hundred twenty billion, three hundred twenty-one million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 11 17 29 31 187 289 319 341 493 527 899 3179 5423 5797 8381 8959 9889 15283 42101 92191 98549 168113 259811 463111 715717 1220929 1305131 2857921 7872887 12167189 13430219 14356441 20755793 22187227 37848799 133839079 228313723 244059497 352848481 377182859 416336789 643429583 3881333291 4149011449 7077725413 10938302911 120321332021