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220103211223120 = 2452751290140289
BaseRepresentation
bin110010000010111011000101…
…101110000000100001010000
31001212022122212020012221110111
4302002323011232000201100
5212322132334033114440
62100042004102211104
764234634521300441
oct6202730556004120
91055278766187414
10220103211223120
116414a27a724995
1220829588123a94
1395a784a450374
143c4d0a35ad2c8
151a6a5ca0284ea
hexc82ec5b80850

220103211223120 has 20 divisors (see below), whose sum is σ = 511739966093940. Its totient is φ = 88041284489216.

The previous prime is 220103211223033. The next prime is 220103211223127. The reversal of 220103211223120 is 21322112301022.

It can be written as a sum of positive squares in 2 ways, for example, as 44352722926656 + 175750488296464 = 6659784^2 + 13257092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 220103211223091 and 220103211223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103211223127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1375645070065 + ... + 1375645070224.

It is an arithmetic number, because the mean of its divisors is an integer number (25586998304697).

Almost surely, 2220103211223120 is an apocalyptic number.

220103211223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220103211223120 is an abundant number, since it is smaller than the sum of its proper divisors (291636754870820).

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

220103211223120 is a wasteful number, since it uses less digits than its factorization.

220103211223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751290140302 (or 2751290140296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 220103211223120 its reverse (21322112301022), we get a palindrome (241425323524142).

The spelling of 220103211223120 in words is "two hundred twenty trillion, one hundred three billion, two hundred eleven million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2751290140289 5502580280578 11005160561156 13756450701445 22010321122312 27512901402890 44020642244624 55025802805780 110051605611560 220103211223120