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120102021 = 3613192329
BaseRepresentation
bin1110010100010…
…01110010000101
322100222211000000
413022021302011
5221221231041
615530111513
72655564444
oct712116205
9270884000
10120102021
1161881476
123427b599
131bb614b0
1411d44d5b
15a825bb6
hex7289c85

120102021 has 112 divisors (see below), whose sum is σ = 220348800. Its totient is φ = 64665216.

The previous prime is 120102013. The next prime is 120102077. The reversal of 120102021 is 120201021.

It is not a de Polignac number, because 120102021 - 23 = 120102013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120101994 and 120102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4141435 + ... + 4141463.

It is an arithmetic number, because the mean of its divisors is an integer number (1967400).

Almost surely, 2120102021 is an apocalyptic number.

It is an amenable number.

120102021 is a deficient number, since it is larger than the sum of its proper divisors (100246779).

120102021 is a wasteful number, since it uses less digits than its factorization.

120102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120102021 is about 10959.1067610458. The cubic root of 120102021 is about 493.3821560621.

Adding to 120102021 its reverse (120201021), we get a palindrome (240303042).

The spelling of 120102021 in words is "one hundred twenty million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 13 19 23 27 29 39 57 69 81 87 117 171 207 243 247 261 299 351 377 437 513 551 621 667 729 741 783 897 1053 1131 1311 1539 1653 1863 2001 2223 2349 2691 3159 3393 3933 4617 4959 5589 5681 6003 6669 7047 7163 8073 8671 9477 10179 11799 12673 13851 14877 16767 17043 18009 20007 21141 21489 24219 26013 30537 35397 38019 44631 51129 54027 60021 64467 72657 78039 91611 106191 114057 133893 153387 162081 164749 180063 193401 217971 234117 274833 318573 342171 401679 460161 486243 494247 580203 702351 1026513 1380483 1482741 1740609 2107053 3079539 4141449 4448223 5221827 6321159 9238617 13344669 40034007 120102021