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11002222023100 = 22527111692184443
BaseRepresentation
bin1010000000011010011110…
…0010010001000110111100
31102221210122202210010222021
42200012213202101012330
52420230022314214400
635222203453125524
72213612214105640
oct240064742210674
942853582703867
1011002222023100
11356201a560840
121298379a898a4
1361a674896919
142a0720706c20
151412d67c671a
hexa01a78911bc

11002222023100 has 144 divisors (see below), whose sum is σ = 29768123218176. Its totient is φ = 3429020736000.

The previous prime is 11002222023061. The next prime is 11002222023101. The reversal of 11002222023100 is 132022220011.

It is a happy number.

It is a super-2 number, since 2×110022220231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002222023101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130249479 + ... + 130333921.

It is an arithmetic number, because the mean of its divisors is an integer number (206723077904).

Almost surely, 211002222023100 is an apocalyptic number.

11002222023100 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 11002222023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884061609088).

11002222023100 is an abundant number, since it is smaller than the sum of its proper divisors (18765901195076).

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

11002222023100 is a wasteful number, since it uses less digits than its factorization.

11002222023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101396 (or 101389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11002222023100 its reverse (132022220011), we get a palindrome (11134244243111).

It can be divided in two parts, 110022 and 22023100, that added together give a palindrome (22133122).

The spelling of 11002222023100 in words is "eleven trillion, two billion, two hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 16921 33842 67684 84443 84605 118447 168886 169210 186131 236894 337772 338420 372262 422215 423025 473788 591101 592235 744524 844430 846050 928873 930655 1182202 1184470 1302917 1688860 1692100 1857746 1861310 2111075 2364404 2368940 2605834 2955505 2961175 3715492 3722620 4222150 4644365 4653275 5211668 5911010 5922350 6502111 6514585 8444300 9288730 9306550 11822020 11844700 13004222 13029170 14777525 18577460 18613100 23221825 26008444 26058340 29555050 32510555 32572925 46443650 59110100 65021110 65145850 92887300 130042220 130291700 162552775 325105550 650211100 1428860003 2857720006 5715440012 7144300015 10002020021 14288600030 15717460033 20004040042 28577200060 31434920066 35721500075 40008080084 50010100105 62869840132 71443000150 78587300165 100020200210 110022220231 142886000300 157174600330 200040400420 220044440462 250050500525 314349200660 392936500825 440088880924 500101001050 550111101155 785873001650 1000202002100 1100222202310 1571746003300 2200444404620 2750555505775 5501111011550 11002222023100