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103220120311220 = 2251110122643205157
BaseRepresentation
bin10111011110000011001110…
…100110101101010110110100
3111112110202011122210012110002
4113132003032212231112310
5102012124301244424340
61003310400232250432
730512256543155663
oct2736031646552664
9445422148705402
10103220120311220
112a986452a77730
12b6b0901540a18
1345798005753c3
141b6bc4806cdda
15bdeed3a6b715
hex5de0ce9ad5b4

103220120311220 has 96 divisors (see below), whose sum is σ = 238820889234816. Its totient is φ = 37161137216000.

The previous prime is 103220120311207. The next prime is 103220120311267. The reversal of 103220120311220 is 22113021022301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103220120311192 and 103220120311201.

It is a congruent number.

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, 503024882 + ... + 503230038.

It is an arithmetic number, because the mean of its divisors is an integer number (2487717596196).

Almost surely, 2103220120311220 is an apocalyptic number.

103220120311220 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 103220120311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119410444617408).

103220120311220 is an abundant number, since it is smaller than the sum of its proper divisors (135600768923596).

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

103220120311220 is a wasteful number, since it uses less digits than its factorization.

103220120311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227921 (or 227919 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103220120311220 its reverse (22113021022301), we get a palindrome (125333141333521).

The spelling of 103220120311220 in words is "one hundred three trillion, two hundred twenty billion, one hundred twenty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 22643 45286 90572 113215 205157 226430 249073 410314 452860 498146 820628 996292 1025785 1245365 2051570 2256727 2286943 2490730 4103140 4513454 4573886 4981460 9026908 9147772 11283635 11434715 20720857 22567270 22869430 25156373 41441714 45134540 45738860 50312746 82883428 100625492 103604285 125781865 207208570 227929427 251563730 414417140 455858854 503127460 911717708 1139647135 2279294270 4558588540 4645369951 9290739902 18581479804 23226849755 46453699510 51099069461 92907399020 102198138922 204396277844 255495347305 469182365051 510990694610 938364730102 1021981389220 1876729460204 2345911825255 4691823650510 5161006015561 9383647301020 10322012031122 20644024062244 25805030077805 51610060155610 103220120311220