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1020102222222 = 233113290357587
BaseRepresentation
bin11101101100000101101…
…01001010000110001110
310121112001200022010021000
432312002311022012032
5113203132132102342
62100343430521130
7133462040551626
oct16660265120616
93545050263230
101020102222222
11363694123a96
121458522061a6
137526cbb45a5
143753213b886
151b80647544c
hexed82d4a18e

1020102222222 has 64 divisors (see below), whose sum is σ = 2287782351360. Its totient is φ = 336902977152.

The previous prime is 1020102222151. The next prime is 1020102222277. The reversal of 1020102222222 is 2222222010201.

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

1020102222222 is a modest number, since divided by 2222222 gives 102010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1020102222195 and 1020102222204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17685313 + ... + 17742899.

It is an arithmetic number, because the mean of its divisors is an integer number (35746599240).

Almost surely, 21020102222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020102222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143891175680).

1020102222222 is an abundant number, since it is smaller than the sum of its proper divisors (1267680129138).

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

1020102222222 is a wasteful number, since it uses less digits than its factorization.

1020102222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60614 (or 60608 counting only the distinct ones).

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

Adding to 1020102222222 its reverse (2222222010201), we get a palindrome (3242324232423).

It can be divided in two parts, 102010 and 2222222, that added together give a palindrome (2324232).

The spelling of 1020102222222 in words is "one trillion, twenty billion, one hundred two million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 2903 3051 5806 6102 8709 17418 26127 52254 57587 78381 115174 156762 172761 328039 345522 518283 656078 984117 1036566 1554849 1968234 2952351 3109698 5904702 6507331 8857053 13014662 17714106 19521993 39043986 58565979 117131958 167175061 175697937 334350122 351395874 501525183 1003050366 1504575549 3009151098 4513726647 9027453294 18890781893 37781563786 56672345679 113344691358 170017037037 340034074074 510051111111 1020102222222