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2102020221222 = 233833449135979
BaseRepresentation
bin11110100101101010001…
…010110010100100100110
321102221200101220001202000
4132211222022302210212
5233414414134034342
64245353232230130
7304603010035245
oct36455212624446
97387611801660
102102020221222
11740509684aa9
1229b47639b346
131232b177b18c
1473a49d5095c
1539a2977144c
hex1e96a2b2926

2102020221222 has 64 divisors (see below), whose sum is σ = 4728840480000. Its totient is φ = 692025764544.

The previous prime is 2102020221221. The next prime is 2102020221233. The reversal of 2102020221222 is 2221220202012.

2102020221222 is a `hidden beast` number, since 21 + 0 + 202 + 0 + 221 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102020221195 and 2102020221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102020221221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15390429 + ... + 15526407.

It is an arithmetic number, because the mean of its divisors is an integer number (73888132500).

Almost surely, 22102020221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102020221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364420240000).

2102020221222 is an abundant number, since it is smaller than the sum of its proper divisors (2626820258778).

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

2102020221222 is a wasteful number, since it uses less digits than its factorization.

2102020221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139522 (or 139516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2102020221222 its reverse (2221220202012), we get a palindrome (4323240423234).

The spelling of 2102020221222 in words is "two trillion, one hundred two billion, twenty million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 3449 4482 6898 10347 20694 31041 62082 93123 135979 186246 271958 286267 407937 572534 815874 858801 1223811 1717602 2447622 2576403 3671433 5152806 7342866 7729209 11286257 15458418 22572514 33858771 67717542 101576313 203152626 304728939 468991571 609457878 937983142 1406974713 2813949426 4220924139 8441848278 12662772417 25325544834 38926300393 77852600786 116778901179 233557802358 350336703537 700673407074 1051010110611 2102020221222