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10002220022120 = 2354714393697241
BaseRepresentation
bin1001000110001101001011…
…0001010111100101101000
31022102012110220121001122212
42101203102301113211220
52302334021311201440
633134542331504252
72051431223254064
oct221432261274550
938365426531585
1010002220022120
113206a10499547
1211565b72b8088
1357728907a391
14268177cdcaa4
151252a9cb7465
hex918d2c57968

10002220022120 has 64 divisors (see below), whose sum is σ = 22999803033600. Its totient is φ = 3913040504320.

The previous prime is 10002220022089. The next prime is 10002220022141. The reversal of 10002220022120 is 2122002220001.

It is a junction number, because it is equal to n+sod(n) for n = 10002220022095 and 10002220022104.

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, 856700 + ... + 4553940.

It is an arithmetic number, because the mean of its divisors is an integer number (359371922400).

Almost surely, 210002220022120 is an apocalyptic number.

10002220022120 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 10002220022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499901516800).

10002220022120 is an abundant number, since it is smaller than the sum of its proper divisors (12997583011480).

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

10002220022120 is a wasteful number, since it uses less digits than its factorization.

10002220022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698738 (or 3698734 counting only the distinct ones).

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

Adding to 10002220022120 its reverse (2122002220001), we get a palindrome (12124222242121).

The spelling of 10002220022120 in words is "ten trillion, two billion, two hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1439 1880 2878 5756 7195 11512 14390 28780 57560 67633 135266 270532 338165 541064 676330 1352660 2705320 3697241 7394482 14788964 18486205 29577928 36972410 73944820 147889640 173770327 347540654 695081308 868851635 1390162616 1737703270 3475406540 5320329799 6950813080 10640659598 21281319196 26601648995 42562638392 53203297990 106406595980 212813191960 250055500553 500111001106 1000222002212 1250277502765 2000444004424 2500555005530 5001110011060 10002220022120