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1113132033200 = 245211925727329
BaseRepresentation
bin10000001100101011110…
…101101110010010110000
310221102012002022011200202
4100030223311232102300
5121214143300030300
62211211002334332
7143264310111425
oct20145365562260
93842162264622
101113132033200
1139a0930169a0
1215b8957ba3a8
1380c77628015
143bc395a1d4c
151de4d7d3ad5
hex1032bd6e4b0

1113132033200 has 120 divisors (see below), whose sum is σ = 2917839786480. Its totient is φ = 404716748800.

The previous prime is 1113132033149. The next prime is 1113132033287. The reversal of 1113132033200 is 23302313111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40717136 + ... + 40744464.

It is an arithmetic number, because the mean of its divisors is an integer number (24315331554).

Almost surely, 21113132033200 is an apocalyptic number.

1113132033200 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 1113132033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458919893240).

1113132033200 is an abundant number, since it is smaller than the sum of its proper divisors (1804707753280).

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

1113132033200 is a wasteful number, since it uses less digits than its factorization.

1113132033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36615 (or 36604 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1113132033200 its reverse (23302313111), we get a palindrome (1136434346311).

The spelling of 1113132033200 in words is "one trillion, one hundred thirteen billion, one hundred thirty-two million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 9257 18514 27329 37028 46285 54658 74056 92570 101827 109316 136645 148112 185140 203654 218632 231425 273290 300619 370280 407308 437264 462850 509135 546580 601238 683225 740560 814616 925700 1018270 1093160 1202476 1366450 1503095 1629232 1851400 2036540 2186320 2404952 2545675 2732900 3006190 3702800 4073080 4809904 5091350 5465800 6012380 7515475 8146160 10182700 10931600 12024760 15030950 20365400 24049520 30061900 40730800 60123800 120247600 252984553 505969106 1011938212 1264922765 2023876424 2529845530 2782830083 4047752848 5059691060 5565660166 6324613825 10119382120 11131320332 12649227650 13914150415 20238764240 22262640664 25298455300 27828300830 44525281328 50596910600 55656601660 69570752075 101193821200 111313203320 139141504150 222626406640 278283008300 556566016600 1113132033200