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1002000220122 = 231167227998213
BaseRepresentation
bin11101001010010111101…
…11011111111111011010
310112210100010012010122210
432211023313133333122
5112404044024020442
62044151302055550
7132251333225406
oct16451367377732
93483303163583
101002000220122
11356a45002980
1214223ba1a5b6
13736467bc145
14366d5d5c106
151b0e716e19c
hexe94bddffda

1002000220122 has 64 divisors (see below), whose sum is σ = 2228588619264. Its totient is φ = 297786603840.

The previous prime is 1002000220069. The next prime is 1002000220163. The reversal of 1002000220122 is 2210220002001.

It is a super-2 number, since 2×10020002201222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002000220098 and 1002000220107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504688 + ... + 1502900.

It is an arithmetic number, because the mean of its divisors is an integer number (34821697176).

Almost surely, 21002000220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002000220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114294309632).

1002000220122 is an abundant number, since it is smaller than the sum of its proper divisors (1226588399142).

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

1002000220122 is a wasteful number, since it uses less digits than its factorization.

1002000220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998523.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002000220122 its reverse (2210220002001), we get a palindrome (3212220222123).

The spelling of 1002000220122 in words is "one trillion, two billion, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 227 402 454 681 737 1362 1474 2211 2497 4422 4994 7491 14982 15209 30418 45627 91254 167299 334598 501897 998213 1003794 1996426 2994639 5989278 10980343 21960686 32941029 65882058 66880271 133760542 200640813 226594351 401281626 453188702 679783053 735682981 1359566106 1471365962 2207048943 2492537861 4414097886 4985075722 7477613583 14955227166 15181821517 30363643034 45545464551 91090929102 167000036687 334000073374 501000110061 1002000220122