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1000001002220 = 2251129203976871
BaseRepresentation
bin11101000110101001011…
…01000101101011101100
310112121011210022100021022
432203110231011223230
5112341000224032340
62043221043553312
7132150646161653
oct16432455055354
93477153270238
101000001002220
1135610954a980
1214198238b838
13733b8559a7c
143658662819a
151b02b8b33b5
hexe8d4b45aec

1000001002220 has 96 divisors (see below), whose sum is σ = 2371101465600. Its totient is φ = 350920774400.

The previous prime is 1000001002201. The next prime is 1000001002279. The reversal of 1000001002220 is 222001000001.

It is a junction number, because it is equal to n+sod(n) for n = 1000001002198 and 1000001002207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12970385 + ... + 13047255.

It is an arithmetic number, because the mean of its divisors is an integer number (24698973600).

Almost surely, 21000001002220 is an apocalyptic number.

1000001002220 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 1000001002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185550732800).

1000001002220 is an abundant number, since it is smaller than the sum of its proper divisors (1371100463380).

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

1000001002220 is a wasteful number, since it uses less digits than its factorization.

1000001002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78959 (or 78957 counting only the distinct ones).

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

Adding to 1000001002220 its reverse (222001000001), we get a palindrome (1222002002221).

The spelling of 1000001002220 in words is "one trillion, one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2039 3190 4078 6380 8156 10195 20390 22429 40780 44858 59131 76871 89716 112145 118262 153742 224290 236524 295655 307484 384355 448580 591310 650441 768710 845581 1182620 1300882 1537420 1691162 2229259 2601764 3252205 3382324 4227905 4458518 6504410 8455810 8917036 11146295 13008820 16911620 22292590 24521849 44585180 49043698 98087396 122609245 156739969 245218490 313479938 490436980 626959876 783699845 1567399690 1724139659 3134799380 3448279318 4545459101 6896558636 8620698295 9090918202 17241396590 18181836404 22727295505 34482793180 45454591010 50000050111 90909182020 100000100222 200000200444 250000250555 500000501110 1000001002220