Search a number
-
+
2011412025 = 32527367389
BaseRepresentation
bin111011111100011…
…1011011000111001
312012011211022120200
41313320323120321
513104410141100
6531331312413
7100562502000
oct16770733071
95164738520
102011412025
11942431697
1248174b709
1326094183c
141511c9c37
15bb8b8e00
hex77e3b639

2011412025 has 144 divisors (see below), whose sum is σ = 4275024000. Its totient is φ = 903450240.

The previous prime is 2011411973. The next prime is 2011412083. The reversal of 2011412025 is 5202141102.

It is not a de Polignac number, because 2011412025 - 210 = 2011411001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011411989 and 2011412007.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5170531 + ... + 5170919.

Almost surely, 22011412025 is an apocalyptic number.

2011412025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2011412025 is an abundant number, since it is smaller than the sum of its proper divisors (2263611975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011412025 is a wasteful number, since it uses less digits than its factorization.

2011412025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2011412025 is about 44848.7683777381. The cubic root of 2011412025 is about 1262.3128814599.

Adding to 2011412025 its reverse (5202141102), we get a palindrome (7213553127).

The spelling of 2011412025 in words is "two billion, eleven million, four hundred twelve thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 67 75 105 147 175 201 225 245 315 335 343 389 441 469 525 603 735 1005 1029 1167 1225 1407 1575 1675 1715 1945 2205 2345 2723 3015 3087 3283 3501 3675 4221 5025 5145 5835 7035 8169 8575 9725 9849 11025 11725 13615 15075 15435 16415 17505 19061 21105 22981 24507 25725 26063 29175 29547 35175 40845 49245 57183 68075 68943 77175 78189 82075 87525 95305 105525 114905 122535 130315 133427 147735 171549 182441 204225 206829 234567 246225 285915 344715 390945 400281 476525 547323 574525 612675 651575 667135 738675 857745 912205 1034145 1172835 1200843 1277087 1429575 1641969 1723575 1954725 2001405 2736615 3335675 3831261 4288725 4561025 5170725 5864175 6004215 6385435 8209845 8939609 10007025 11493783 13683075 19156305 26818827 30021075 31927175 41049225 44698045 57468915 80456481 95781525 134094135 223490225 287344575 402282405 670470675 2011412025