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2210022020120 = 235791153606569
BaseRepresentation
bin100000001010001111100…
…100111101010000011000
321211021110020022220111212
4200022033210331100120
5242202111114120440
64411134201442252
7315445256135435
oct40121744752030
97737406286455
102210022020120
117822a08a7042
122b8397aa0388
13130533cb0765
1478d739c6b8c
153c74b20e465
hex2028f93d418

2210022020120 has 64 divisors (see below), whose sum is σ = 5039868816000. Its totient is φ = 872060387328.

The previous prime is 2210022020069. The next prime is 2210022020243. The reversal of 2210022020120 is 210202200122.

It is a junction number, because it is equal to n+sod(n) for n = 2210022020095 and 2210022020104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3340196 + ... + 3946764.

It is an arithmetic number, because the mean of its divisors is an integer number (78747950250).

Almost surely, 22210022020120 is an apocalyptic number.

2210022020120 is a gapful number since it is divisible by the number (20) 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 2210022020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519934408000).

2210022020120 is an abundant number, since it is smaller than the sum of its proper divisors (2829846795880).

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

2210022020120 is a wasteful number, since it uses less digits than its factorization.

2210022020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607812 (or 607808 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2210022020120 its reverse (210202200122), we get a palindrome (2420224220242).

The spelling of 2210022020120 in words is "two trillion, two hundred ten billion, twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1153 1580 2306 3160 4612 5765 9224 11530 23060 46120 91087 182174 364348 455435 606569 728696 910870 1213138 1821740 2426276 3032845 3643480 4852552 6065690 12131380 24262760 47918951 95837902 191675804 239594755 383351608 479189510 699374057 958379020 1398748114 1916758040 2797496228 3496870285 5594992456 6993740570 13987481140 27974962280 55250550503 110501101006 221002202012 276252752515 442004404024 552505505030 1105011010060 2210022020120