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1010112224 = 25112998953
BaseRepresentation
bin111100001101010…
…001011011100000
32121101201000110212
4330031101123200
54032042042344
6244122113252
734013545412
oct7415213340
92541630425
101010112224
114792002a0
1224234b828
1313136ab54
14982209b2
155da2c79e
hex3c3516e0

1010112224 has 48 divisors (see below), whose sum is σ = 2244276720. Its totient is φ = 443304960.

The previous prime is 1010112223. The next prime is 1010112251. The reversal of 1010112224 is 4222110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1010112199 and 1010112208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010112223) 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, 39269 + ... + 59684.

It is an arithmetic number, because the mean of its divisors is an integer number (46755765).

Almost surely, 21010112224 is an apocalyptic number.

It is an amenable number.

1010112224 is an abundant number, since it is smaller than the sum of its proper divisors (1234164496).

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

1010112224 is a wasteful number, since it uses less digits than its factorization.

1010112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99003 (or 98995 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1010112224 is about 31782.2627262440. The cubic root of 1010112224 is about 1003.3594428391.

Adding to 1010112224 its reverse (4222110101), we get a palindrome (5232222325).

The spelling of 1010112224 in words is "one billion, ten million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 98953 197906 395812 791624 1088483 1583248 2176966 2869637 3166496 4353932 5739274 8707864 11478548 17415728 22957096 31566007 34831456 45914192 63132014 91828384 126264028 252528056 505056112 1010112224