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10222123024 = 2431193106783
BaseRepresentation
bin10011000010100100…
…10011100000010000
3222101101201122122001
421201102103200100
5131413330414044
64410155323344
7511212416641
oct114122234020
928341648561
1010222123024
114376138363
121b93450554
13c6ba1c309
146cd8636c8
153ec6372d4
hex261493810

10222123024 has 40 divisors (see below), whose sum is σ = 20550367232. Its totient is φ = 4920514560.

The previous prime is 10222123019. The next prime is 10222123027. The reversal of 10222123024 is 42032122201.

It is a junction number, because it is equal to n+sod(n) for n = 10222122992 and 10222123010.

It is not an unprimeable number, because it can be changed into a prime (10222123027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42337 + ... + 149119.

Almost surely, 210222123024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275183616).

10222123024 is an abundant number, since it is smaller than the sum of its proper divisors (10328244208).

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

10222123024 is a wasteful number, since it uses less digits than its factorization.

10222123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107015 (or 107009 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10222123024 its reverse (42032122201), we get a palindrome (52254245225).

The spelling of 10222123024 in words is "ten billion, two hundred twenty-two million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 31 62 124 193 248 386 496 772 1544 3088 5983 11966 23932 47864 95728 106783 213566 427132 854264 1708528 3310273 6620546 13241092 20609119 26482184 41218238 52964368 82436476 164872952 329745904 638882689 1277765378 2555530756 5111061512 10222123024