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103223112222032 = 24114717969712939
BaseRepresentation
bin10111011110000110000000…
…111011111100010101010000
3111112111000220011121000111122
4113132012000323330111100
5102012201413212101112
61003312013151301412
730512423643041015
oct2736060073742520
9445430804530448
10103223112222032
112a9877489125a0
12b6b13b751a868
134579b89386a2a
141b6c04d56b70c
15be010b563872
hex5de180efc550

103223112222032 has 80 divisors (see below), whose sum is σ = 224062966195200. Its totient is φ = 45664762907520.

The previous prime is 103223112222029. The next prime is 103223112222037. The reversal of 103223112222032 is 230222211322301.

It is a junction number, because it is equal to n+sod(n) for n = 103223112221992 and 103223112222010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103223112222037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33375782 + ... + 36337157.

It is an arithmetic number, because the mean of its divisors is an integer number (2800787077440).

Almost surely, 2103223112222032 is an apocalyptic number.

It is an amenable number.

103223112222032 is an abundant number, since it is smaller than the sum of its proper divisors (120839853973168).

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

103223112222032 is a wasteful number, since it uses less digits than its factorization.

103223112222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69713184 (or 69713178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103223112222032 its reverse (230222211322301), we get a palindrome (333445323544333).

The spelling of 103223112222032 in words is "one hundred three trillion, two hundred twenty-three billion, one hundred twelve million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 179 188 358 376 517 716 752 1034 1432 1969 2068 2864 3938 4136 7876 8272 8413 15752 16826 31504 33652 67304 92543 134608 185086 370172 740344 1480688 69712939 139425878 278851756 557703512 766842329 1115407024 1533684658 3067369316 3276508133 6134738632 6553016266 12269477264 12478616081 13106032532 24957232162 26212065064 36041589463 49914464324 52424130128 72083178926 99828928648 137264776891 144166357852 199657857296 274529553782 288332715704 549059107564 576665431408 586494955807 1098118215128 1172989911614 2196236430256 2345979823228 4691959646456 6451444513877 9383919292912 12902889027754 25805778055508 51611556111016 103223112222032