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1010011424 = 25192117873
BaseRepresentation
bin111100001100111…
…000110100100000
32121101111220012112
4330030320310200
54032030331144
6244120014452
734012645502
oct7414706440
92541456175
101010011424
11479141594
12242301428
13131333cc6
14981d5d72
155da0c99e
hex3c338d20

1010011424 has 48 divisors (see below), whose sum is σ = 2103302880. Its totient is φ = 476098560.

The previous prime is 1010011411. The next prime is 1010011487. The reversal of 1010011424 is 4241100101.

It is a super-2 number, since 2×10100114242 = 2040246153221015552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010011399 and 1010011408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 124352 + ... + 132224.

It is an arithmetic number, because the mean of its divisors is an integer number (43818810).

Almost surely, 21010011424 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 1010011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051651440).

1010011424 is an abundant number, since it is smaller than the sum of its proper divisors (1093291456).

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

1010011424 is a wasteful number, since it uses less digits than its factorization.

1010011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8105 counting only the distinct ones).

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

The square root of 1010011424 is about 31780.6768965043. The cubic root of 1010011424 is about 1003.3260663509.

Adding to 1010011424 its reverse (4241100101), we get a palindrome (5251111525).

The spelling of 1010011424 in words is "one billion, ten million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 211 304 422 608 844 1688 3376 4009 6752 7873 8018 15746 16036 31492 32072 62984 64144 125968 128288 149587 251936 299174 598348 1196696 1661203 2393392 3322406 4786784 6644812 13289624 26579248 31562857 53158496 63125714 126251428 252502856 505005712 1010011424