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2120210001 = 327133137261
BaseRepresentation
bin111111001011111…
…1101011001010001
312110202112211100100
41332113331121101
513320233210001
6550215243013
7103353326160
oct17627753121
95422484310
102120210001
11998892178
124b2079469
1327a345a40
1416182b3d7
15c620a586
hex7e5fd651

2120210001 has 144 divisors (see below), whose sum is σ = 4064406528. Its totient is φ = 1035763200.

The previous prime is 2120209969. The next prime is 2120210003. The reversal of 2120210001 is 1000120212.

It is not a de Polignac number, because 2120210001 - 25 = 2120209969 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120210003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34757511 + ... + 34757571.

Almost surely, 22120210001 is an apocalyptic number.

2120210001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120210001 is a deficient number, since it is larger than the sum of its proper divisors (1944196527).

2120210001 is a wasteful number, since it uses less digits than its factorization.

2120210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 152 counting only the distinct ones).

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

The square root of 2120210001 is about 46045.7381415479. The cubic root of 2120210001 is about 1284.6740735970.

Adding to 2120210001 its reverse (1000120212), we get a palindrome (3120330213).

The spelling of 2120210001 in words is "two billion, one hundred twenty million, two hundred ten thousand, one".

Divisors: 1 3 7 9 13 21 31 37 39 61 63 91 93 111 117 183 217 259 273 279 333 403 427 481 549 651 777 793 819 1147 1209 1281 1369 1443 1891 1953 2257 2331 2379 2821 3367 3441 3627 3843 4107 4329 5551 5673 6771 7137 8029 8463 9583 10101 10323 12321 13237 14911 15799 16653 17019 17797 20313 24087 24583 25389 28749 29341 30303 39711 42439 44733 47397 49959 53391 69967 72261 73749 83509 86247 88023 104377 119133 124579 127317 134199 142191 160173 172081 205387 209901 221247 250527 264069 297073 313131 373737 381951 489769 516243 551707 584563 616161 629703 751581 891219 909571 939393 1085617 1121211 1469307 1548729 1655121 1753689 1848483 2588779 2673657 2728713 3256851 3861949 4407921 4965363 5261067 6366997 7599319 7766337 8186139 9770553 11585847 18121453 19100991 22797957 23299011 33654127 34757541 54364359 57302973 68393871 100962381 163093077 235578889 302887143 706736667 2120210001