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11021200112010 = 235111911831148573
BaseRepresentation
bin1010000001100001001010…
…1101111011100110001010
31110000121122101101221202010
42200120102231323212022
52421032404212041020
635235022555320350
72215153420153134
oct240302255734612
943017571357663
1011021200112010
11356a079160940
12129bb957500b6
1361c3aa63212a
142a1600dba054
15141a47983de0
hexa0612b7b98a

11021200112010 has 128 divisors (see below), whose sum is σ = 30376988375040. Its totient is φ = 2530953734400.

The previous prime is 11021200112003. The next prime is 11021200112023. The reversal of 11021200112010 is 1021100212011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74106084 + ... + 74254656.

It is an arithmetic number, because the mean of its divisors is an integer number (237320221680).

Almost surely, 211021200112010 is an apocalyptic number.

11021200112010 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 11021200112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188494187520).

11021200112010 is an abundant number, since it is smaller than the sum of its proper divisors (19355788263030).

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

11021200112010 is a wasteful number, since it uses less digits than its factorization.

11021200112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160444.

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

Adding to 11021200112010 its reverse (1021100212011), we get a palindrome (12042300324021).

The spelling of 11021200112010 in words is "eleven trillion, twenty-one billion, two hundred million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 11831 23662 35493 59155 70986 118310 130141 148573 177465 224789 260282 297146 354930 390423 445719 449578 650705 674367 742865 780846 891438 1123945 1301410 1348734 1485730 1634303 1952115 2228595 2247890 2472679 2822887 3268606 3371835 3904230 4457190 4902909 4945358 5645774 6743670 7418037 8171515 8468661 9805818 12363395 14114435 14836074 16343030 16937322 24514545 24726790 28228870 31051757 37090185 42343305 49029090 62103514 74180370 84686610 93155271 155258785 186310542 310517570 465776355 931552710 1757767163 3515534326 5273301489 8788835815 10546602978 17577671630 19335438793 26366507445 33397576097 38670877586 52733014890 58006316379 66795152194 96677193965 100192728291 116012632758 166987880485 193354387930 200385456582 290031581895 333975760970 367373337067 500963641455 580063163790 734746674134 1001927282910 1102120011201 1836866685335 2204240022402 3673733370670 5510600056005 11021200112010