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1010111058 = 2321122322877
BaseRepresentation
bin111100001101010…
…001001001010010
32121101200221212200
4330031101021102
54032042023213
6244122104030
734013542125
oct7415211122
92541627780
101010111058
114791aa430
1224234b016
1313136a468
14982203bc
155da2c273
hex3c351252

1010111058 has 48 divisors (see below), whose sum is σ = 2398346496. Its totient is φ = 304708320.

The previous prime is 1010111057. The next prime is 1010111077. The reversal of 1010111058 is 8501110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010111058.

It is not an unprimeable number, because it can be changed into a prime (1010111057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32716 + ... + 55592.

It is an arithmetic number, because the mean of its divisors is an integer number (49965552).

Almost surely, 21010111058 is an apocalyptic number.

1010111058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010111058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199173248).

1010111058 is an abundant number, since it is smaller than the sum of its proper divisors (1388235438).

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

1010111058 is a wasteful number, since it uses less digits than its factorization.

1010111058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23119 (or 23116 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

The square root of 1010111058 is about 31782.2443826738. The cubic root of 1010111058 is about 1003.3590567706.

Adding to 1010111058 its reverse (8501110101), we get a palindrome (9511221159).

The spelling of 1010111058 in words is "one billion, ten million, one hundred eleven thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 223 446 669 1338 2007 2453 4014 4906 7359 14718 22077 22877 44154 45754 68631 137262 205893 251647 411786 503294 754941 1509882 2264823 4529646 5101571 10203142 15304713 30609426 45914139 56117281 91828278 112234562 168351843 336703686 505055529 1010111058