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11011120220010 = 23529113281398591
BaseRepresentation
bin1010000000111011100111…
…1010001100011101101010
31102222122121220022101101210
42200032321322030131222
52420401233234020020
635230234440253550
72214345552404661
oct240167172143552
942878556271353
1011011120220010
113565876339889
12129a041a712b6
1361b4622217b1
142a0d263bbdd8
15141657a943e0
hexa03b9e8c76a

11011120220010 has 128 divisors (see below), whose sum is σ = 27678100930560. Its totient is φ = 2799951257600.

The previous prime is 11011120219997. The next prime is 11011120220017. The reversal of 11011120220010 is 1002202111011.

11011120220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11011120220017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27425815 + ... + 27824405.

It is an arithmetic number, because the mean of its divisors is an integer number (216235163520).

Almost surely, 211011120220010 is an apocalyptic number.

11011120220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011120220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839050465280).

11011120220010 is an abundant number, since it is smaller than the sum of its proper divisors (16666980710550).

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

11011120220010 is a wasteful number, since it uses less digits than its factorization.

11011120220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399024.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11011120220010 its reverse (1002202111011), we get a palindrome (12013322331021).

The spelling of 11011120220010 in words is "eleven trillion, eleven billion, one hundred twenty million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 113 145 174 226 281 290 339 435 562 565 678 843 870 1130 1405 1686 1695 2810 3277 3390 4215 6554 8149 8430 9831 16298 16385 19662 24447 31753 32770 40745 48894 49155 63506 81490 95259 98310 122235 158765 190518 244470 317530 398591 476295 797182 920837 952590 1195773 1841674 1992955 2391546 2762511 3985910 4604185 5525022 5978865 9208370 11559139 11957730 13812555 23118278 27625110 34677417 45040783 57795695 69354834 90081566 112004071 115591390 135122349 173387085 224008142 225203915 270244698 336012213 346774170 450407830 560020355 672024426 675611745 1120040710 1306182707 1351223490 1680061065 2612365414 3248118059 3360122130 3918548121 6496236118 6530913535 7837096242 9744354177 12656460023 13061827070 16240590295 19488708354 19592740605 25312920046 32481180590 37969380069 39185481210 48721770885 63282300115 75938760138 97443541770 126564600230 189846900345 367037340667 379693800690 734074681334 1101112022001 1835186703335 2202224044002 3670373406670 5505560110005 11011120220010