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1001020112 = 24174578053
BaseRepresentation
bin111011101010100…
…101101011010000
32120202121002102222
4323222211223100
54022230120422
6243155200212
733543346661
oct7352455320
92522532388
101001020112
11474060254
1223b2a6068
1312c5065c1
1496d35368
155cd33842
hex3baa5ad0

1001020112 has 40 divisors (see below), whose sum is σ = 2058312456. Its totient is φ = 469979136.

The previous prime is 1001020109. The next prime is 1001020117. The reversal of 1001020112 is 2110201001.

It can be written as a sum of positive squares in 4 ways, for example, as 604373056 + 396647056 = 24584^2 + 19916^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1001020112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020117) 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, 120278 + ... + 128330.

Almost surely, 21001020112 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 1001020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029156228).

1001020112 is an abundant number, since it is smaller than the sum of its proper divisors (1057292344).

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

1001020112 is a wasteful number, since it uses less digits than its factorization.

1001020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8535 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1001020112 is about 31638.9018772776. The cubic root of 1001020112 is about 1000.3399217734.

Adding to 1001020112 its reverse (2110201001), we get a palindrome (3111221113).

The spelling of 1001020112 in words is "one billion, one million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 457 914 1828 3656 7312 7769 8053 15538 16106 31076 32212 62152 64424 124304 128848 136901 273802 547604 1095208 2190416 3680221 7360442 14720884 29441768 58883536 62563757 125127514 250255028 500510056 1001020112