Search a number
-
+
11002420212 = 22372191815441
BaseRepresentation
bin10100011111100101…
…11001101111110100
31001101202222212010220
422033302321233310
5140013104421322
65015432014340
7536436012600
oct121762715764
931352885126
1011002420212
114736641173
1221708313b0
131064594124
14765340500
15445dbb55c
hex28fcb9bf4

11002420212 has 144 divisors (see below), whose sum is σ = 31614972480. Its totient is φ = 2961100800.

The previous prime is 11002420207. The next prime is 11002420223. The reversal of 11002420212 is 21202420011.

It is a super-2 number, since 2×110024202122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11002420191 and 11002420200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2019412 + ... + 2024852.

It is an arithmetic number, because the mean of its divisors is an integer number (219548420).

Almost surely, 211002420212 is an apocalyptic number.

11002420212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002420212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807486240).

11002420212 is an abundant number, since it is smaller than the sum of its proper divisors (20612552268).

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

11002420212 is a wasteful number, since it uses less digits than its factorization.

11002420212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11002420212 its reverse (21202420011), we get a palindrome (32204840223).

The spelling of 11002420212 in words is "eleven billion, two million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 181 196 228 266 294 362 399 532 543 588 724 798 931 1086 1267 1596 1862 2172 2534 2793 3439 3724 3801 5068 5441 5586 6878 7602 8869 10317 10882 11172 13756 15204 16323 17738 20634 21764 24073 26607 32646 35476 38087 41268 48146 53214 65292 72219 76174 96292 103379 106428 114261 144438 152348 168511 206758 228522 266609 288876 310137 337022 413516 457044 505533 533218 620274 674044 723653 799827 984821 1011066 1066436 1240548 1447306 1599654 1969642 2022132 2170959 2894612 2954463 3199308 3939284 4341918 5065571 5908926 6893747 8683836 10131142 11817852 13787494 15196713 18711599 20262284 20681241 27574988 30393426 37423198 41362482 48256229 56134797 60786852 74846396 82724964 96512458 112269594 130981193 144768687 193024916 224539188 261962386 289537374 392943579 523924772 579074748 785887158 916868351 1571774316 1833736702 2750605053 3667473404 5501210106 11002420212