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1001442112 = 26111499547
BaseRepresentation
bin111011101100001…
…100101101000000
32120210101112022121
4323230030231000
54022332121422
6243212214024
733550055206
oct7354145500
92523345277
101001442112
11474319310
1223b46a314
1312c6236c8
1497005076
155cdb88c7
hex3bb0cb40

1001442112 has 56 divisors (see below), whose sum is σ = 2182672800. Its totient is φ = 452098560.

The previous prime is 1001442107. The next prime is 1001442133. The reversal of 1001442112 is 2112441001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100123 + ... + 109669.

It is an arithmetic number, because the mean of its divisors is an integer number (38976300).

Almost surely, 21001442112 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 1001442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091336400).

1001442112 is an abundant number, since it is smaller than the sum of its proper divisors (1181230688).

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

1001442112 is a wasteful number, since it uses less digits than its factorization.

1001442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1001442112 is about 31645.5701797266. The cubic root of 1001442112 is about 1000.4804731086.

Adding to 1001442112 its reverse (2112441001), we get a palindrome (3113883113).

The spelling of 1001442112 in words is "one billion, one million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 149 176 298 352 596 704 1192 1639 2384 3278 4768 6556 9536 9547 13112 19094 26224 38188 52448 76376 104896 105017 152752 210034 305504 420068 611008 840136 1422503 1680272 2845006 3360544 5690012 6721088 11380024 15647533 22760048 31295066 45520096 62590132 91040192 125180264 250360528 500721056 1001442112