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11223315400 = 23521141124427
BaseRepresentation
bin10100111001111011…
…00011001111001000
31001222011122111101011
422130331203033020
5140441132043100
65053402333304
7545060415103
oct123475431710
931864574334
1011223315400
11483a2a5a80
1222127ba234
13109b28613b
1478680173a
1545a4a1bba
hex29cf633c8

11223315400 has 96 divisors (see below), whose sum is σ = 29160946080. Its totient is φ = 3981632000.

The previous prime is 11223315379. The next prime is 11223315427. The reversal of 11223315400 is 451332211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27987 + ... + 152413.

It is an arithmetic number, because the mean of its divisors is an integer number (303759855).

Almost surely, 211223315400 is an apocalyptic number.

11223315400 is a gapful number since it is divisible by the number (10) 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 11223315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580473040).

11223315400 is an abundant number, since it is smaller than the sum of its proper divisors (17937630680).

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

11223315400 is a wasteful number, since it uses less digits than its factorization.

11223315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124495 (or 124486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 11223315400 its reverse (451332211), we get a palindrome (11674647611).

It can be divided in two parts, 11223 and 315400, that added together give a palindrome (326623).

The spelling of 11223315400 in words is "eleven billion, two hundred twenty-three million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1640 1804 2050 2200 2255 3608 4100 4510 8200 9020 11275 18040 22550 45100 90200 124427 248854 497708 622135 995416 1244270 1368697 2488540 2737394 3110675 4977080 5101507 5474788 6221350 6843485 10203014 10949576 12442700 13686970 20406028 24885400 25507535 27373940 34217425 40812056 51015070 54747880 56116577 68434850 102030140 112233154 127537675 136869700 204060280 224466308 255075350 273739400 280582885 448932616 510150700 561165770 1020301400 1122331540 1402914425 2244663080 2805828850 5611657700 11223315400