Search a number
-
+
11100221010120 = 2335112764478031
BaseRepresentation
bin1010000110000111100010…
…1110101111000011001000
31110022011121111011111110010
42201201320232233003020
52423331223034310440
635335212055351520
72223651552543234
oct241417056570310
943264544144403
1011100221010120
11359a639418200
1212b33696825a0
13626991965bc8
142a5379ac75c4
15143b1eeed580
hexa1878baf0c8

11100221010120 has 96 divisors (see below), whose sum is σ = 36603208172160. Its totient is φ = 2690962665600.

The previous prime is 11100221010059. The next prime is 11100221010121. The reversal of 11100221010120 is 2101012200111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100221010096 and 11100221010105.

It is not an unprimeable number, because it can be changed into a prime (11100221010121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382224496 + ... + 382253535.

It is an arithmetic number, because the mean of its divisors is an integer number (381283418460).

Almost surely, 211100221010120 is an apocalyptic number.

11100221010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100221010120 is an abundant number, since it is smaller than the sum of its proper divisors (25502987162040).

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

11100221010120 is a wasteful number, since it uses less digits than its factorization.

11100221010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764478067 (or 764478052 counting only the distinct ones).

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

Adding to 11100221010120 its reverse (2101012200111), we get a palindrome (13201233210231).

The spelling of 11100221010120 in words is "eleven trillion, one hundred billion, two hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 764478031 1528956062 2293434093 3057912124 3822390155 4586868186 6115824248 7644780310 8409258341 9173736372 11467170465 15289560620 16818516682 18347472744 22934340930 25227775023 30579121240 33637033364 42046291705 45868681860 50455550046 67274066728 84092583410 91737363720 92501841751 100911100092 126138875115 168185166820 185003683502 201822200184 252277750230 277505525253 336370333640 370007367004 462509208755 504555500460 555011050506 740014734008 925018417510 1009111000920 1110022101012 1387527626265 1850036835020 2220044202024 2775055252530 3700073670040 5550110505060 11100221010120