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1000122321224 = 231347137204013
BaseRepresentation
bin11101000110110111110…
…11111000100101001000
310112121111020120222122202
432203123323320211020
5112341222303234344
62043241100135332
7132153651315455
oct16433373704510
93477436528582
101000122321224
11356170a82714
121419b6b37548
1373407726170
14365987a882c
151b03737994e
hexe8dbef8948

1000122321224 has 32 divisors (see below), whose sum is σ = 2019530505720. Its totient is φ = 461582862336.

The previous prime is 1000122321223. The next prime is 1000122321257. The reversal of 1000122321224 is 4221232210001.

It can be written as a sum of positive squares in 4 ways, for example, as 506360328100 + 493761993124 = 711590^2 + 702682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000122321196 and 1000122321205.

It is not an unprimeable number, because it can be changed into a prime (1000122321221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4800242 + ... + 5004254.

Almost surely, 21000122321224 is an apocalyptic number.

It is an amenable number.

1000122321224 is an abundant number, since it is smaller than the sum of its proper divisors (1019408184496).

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

1000122321224 is a wasteful number, since it uses less digits than its factorization.

1000122321224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251169 (or 251165 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1000122321224 its reverse (4221232210001), we get a palindrome (5221354531225).

The spelling of 1000122321224 in words is "one trillion, one hundred twenty-two million, three hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 47137 94274 188548 204013 377096 408026 612781 816052 1225562 1632104 2451124 2652169 4902248 5304338 10608676 21217352 9616560781 19233121562 38466243124 76932486248 125015290153 250030580306 500061160612 1000122321224