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22202200010120 = 23513251170105731
BaseRepresentation
bin1010000110001010110100…
…01111101010110110001000
32220121111202111022010122112
411003011122033222312020
510402230101200310440
6115115314435041452
74451025133164434
oct503053217526610
986544674263575
1022202200010120
11708a99a1061a9
1225a6b27a40288
13c508738a03c0
1456a84106d9c4
152877e4507965
hex14315a3ead88

22202200010120 has 64 divisors (see below), whose sum is σ = 54011972024640. Its totient is φ = 8165075040000.

The previous prime is 22202200010069. The next prime is 22202200010143. The reversal of 22202200010120 is 2101000220222.

It is a junction number, because it is equal to n+sod(n) for n = 22202200010095 and 22202200010104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84922346 + ... + 85183385.

It is an arithmetic number, because the mean of its divisors is an integer number (843937062885).

Almost surely, 222202200010120 is an apocalyptic number.

22202200010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202200010120 is an abundant number, since it is smaller than the sum of its proper divisors (31809772014520).

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

22202200010120 is a wasteful number, since it uses less digits than its factorization.

22202200010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170106006 (or 170106002 counting only the distinct ones).

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

Adding to 22202200010120 its reverse (2101000220222), we get a palindrome (24303200230342).

The spelling of 22202200010120 in words is "twenty-two trillion, two hundred two billion, two hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 251 260 502 520 1004 1255 2008 2510 3263 5020 6526 10040 13052 16315 26104 32630 65260 130520 170105731 340211462 680422924 850528655 1360845848 1701057310 2211374503 3402114620 4422749006 6804229240 8845498012 11056872515 17690996024 22113745030 42696538481 44227490060 85393076962 88454980120 170786153924 213482692405 341572307848 426965384810 555055000253 853930769620 1110110000506 1707861539240 2220220001012 2775275001265 4440440002024 5550550002530 11101100005060 22202200010120